Algebra:

y= x+4
y= -x+2

Answers

Answer 1

Answer: to solve for the variables y and x we substitute the second equation into the first meaning that y = -x +2 you substitute y for (-x+2)
so

(-x +2) = x +4
add x to both sides
2 = 2x + 4
subtract 4 from both sides
-2 = 2x
divide by 2
-1 = x

now plug x back into the original equation

y = (-1) + 4
y = 3

and

y = -(-1) + 2
y = 1 +2
y = 3

there you have it x = -1 and y = 3

Hope this helps ;)

Answer 2

Answer: to solve what you need to do is
if y=x+4
and y=-x+2 so both equations have to equal the same thin so
x+4=-x+2
combine like terms and you get x=-x-2
then next equals 2x=-2
divide by 2 and last you get x=-1

Related Questions

Scott has 1/3 as many computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?Scott has....... Anish has....... Nick has........
In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?
07.04 Equilibrium: Hands-On Equilibrium Demonstration Lab Part III follows a similar procedure as Part I and Part II, except you will be adding additional candies to the activity. Start with 40 candies on the reactant side of the paper. For each round, half of the candies that were on the reactant (R) side of the paper from the last round should be moved to the product side. One-fourth of the candies that were on the product (P) side of the paper from the last round should be moved to the reactant side. (If you end up with a decimal for the number to exchange, round up.) At the end of each round, count the number of candies on each side of the paper and keep track of the numbers in a data table. After five rounds, add 40 more candies to the reactant side of the paper. Continue following the instructions in Step 2 with this new amount of candy (total of 80 pieces of candy) for an additional 10 rounds. At the end of 15 total rounds, calculate the ratio (ratio = P/R) of products to reactants.
Help me find p.....
A model ship is 28 in. by 65 in Use the scale in : 1/2ft to find the dimension of the actual ship

Solve the equation by completing the square. -9n^2+79+=-18n

Answers

Hello,
-9n²+79=-18n
==>9n²-18n-79=0
==>9(n²-2n+1-1)-79=0
==>9(n-1)²-88=0
==>[3(n-1)-2√22][3(n-1)+2√22]=0
==>3(n-1)=2√22 or 3(n-1)=-2√22
==>n-1=2/3*√22 or n-1=-2/3*√22
==>n=1+2/3*√22 or n=1-2/3*√22

Help Please! ASAP Thanks!

Answers

1) 1st integer = x ; 2nd integer = x + 1
x + x + 1 = 73
2x = 73 - 1
2x = 72
2x/2 = 72/2
x = 36
1st integer = x = 36
2nd integer = x + 1 = 36 + 1 = 37

2) 1st integer = -x ; 2nd integer = -x + 1
-x + -x + 1 = -171
-2x +1 = -171
-2x = -171 - 1
-2x = -172
-2x/-2 = -172/-2
x = 86
1st interger = -86 ;
2nd integer = -86 + 1 = -85 (integer closest to zero)

3) 1st integer = x ; 2nd integer = x + 1 ; 3rd integer = x + 2
x + x+1 + x+2 = 78
3x + 3 = 78
3x = 78 - 3
3x = 75
3x/3 = 75/3
x = 25
1st integer = x = 25 (integer closest to zero)
2nd integer = x + 1 = 25 + 1 = 26
3rd integer = x + 2 = 25 + 2 = 27

4) 1st integer = x ; 2nd integer = x + 1 ; 3rd integer = x + 2
x + x+1 + x+2 = 261
3x + 3 = 261
3x = 261 - 3
3x = 258
3x/3 = 258/3
x = 86
1st integer = x = 86
2nd integer = x + 1 = 86 + 1 = 87 (middle number)
3rd integer = x + 2 = 86 + 2 = 88

5) 1st integer = -x ; 2nd integer = -x+1 ; 3rd integer = -x + 2
-x + -x+1 + -x+2 = -165
-3x + 3 = -165
-3x = -165 - 3
-3x = -168
-3x/-3 = -168/-3
x = 56
1st integer = -x = -56
2nd integer = -x+1 = -56 + 1 = -55
3rd integer = -x+2 = -56 + 2 = -54 (closest to zero)

"The sum of three numbers is 48. The second number is three times the first, while the third number is twice the first. Find the numbers What is the average of the numbers" 1. The three numbers are 8, 24, and 16. 2. The three numbers are 12, 36, and 24. 3. The three numbers are 10, 30, and 20. 4. The three numbers are 15, 45, and 30.

Answers

Answer: 1st choice : 8, 24, 16 and the average of the three numbers is 16

Step-by-step explanation:

let these 3 numbers be represented as x, y, z

x is the first, y is the 2nd, and z is the third.

x + y + z = 48

y = 3x

z = 2x

x + 3x + 2x = 48

6x = 48

x = 8

y = 3*8 = 24

z = 2*8 = 16

Average = (x+y+z)/3 = 48/3 = 16

From MysticAlanCheng

I need help with a , b,c,d THANK YOU!! :)

Answers

-2x^2 + 1 for x = -3
-2(-3)^2 + 1 = -2(9) + 1 = -18 + 1 = -17

2^x for x = 3
2^3 = 2 x 2 x 2 = 8

4x - 4 for x = 3
4(3) - 4 = 12 - 4 = 8

If a line passes through the point (1,9) and has a slope of 6 , write it as an equation

Answers

$y= mx+b$

$y=6x+b$

$(9)=6(1)+b$

$9=6+b$

$3 = b$

$y=6x+3$

$y-y_1=m(x-x_1)\n y-9=6(x-1)\n y=6x-6+9\n y=6x+3$

A student is deriving the quadratic formula. Her first two steps are shown.Step 1: –c = ax2 + bx

Step 2: -c = a[x^2+b/ax]

Which best explains or justifies Step 2?

division property of equality

factoring the binomial

completing the square

subtraction property of equality