MATHEMATICS HIGH SCHOOL

(a) 3x + 7y = 13, 5x + 2y = 12
How do i solve this linear equation using substitution method??

Answers

Answer 1
Answer:

Answer:

x= 2, y= 1

Step-by-step explanation:

First label the 2 equations:

3x +7y= 13 -----(1)

5x +2y= 12 -----(2)

Make x or y the subject of formula for one of the equation so that we can substitute its value into the 2nd equation.

Here, I am making y the subject of formula in the 2nd equation.

5x +2y= 12

2y= 12 -5x

y = 6 - (5)/(2) x -----(3)

Substitute (3) into (1):

3x + 7(6 - (5)/(2) x) = 13

Expand:

3x + 42 - (35)/(2) x = 13

Bringconstantstooneside:

3x - (35)/(2) x = 13 - 42

Simplify:

- (29)/(2) x = - 29

Multiplyby-2onbothsides:

- 29x = - 58

Divideby-29onbothsides:

x=2

Substitute x=2 into (1):

3(2) +7y= 13

7y +6= 13

7y= 13 -6 (-6onbothsides)

7y= 7

y= 7 ÷7

y= 1

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Answers

Answer:

2.4

Step-by-step explanation:

Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n?

Answers

Answer:

The solution set is the set of all real numbers.

Step-by-step explanation:

Solve: 18-3n+2=n+20-4n

Like terms are those terms which have same variable to the same power:

Combine like terms;

20-3n=20-3n

Subtract 20 from both sides we get;

20-3n-20=20-3n-20

Simplify:

-3n=-3n

Add 3n to both sides we get;

-3n+3n=-3n+3n

Simplify:

0=0 for all n

Thus, the given system is dependent.

Therefore, the solution set is set of all real numbers.

Answer:

ALL REALS

Step-by-step explanation:

hope this helps y'all

I don't get this question​

Answers

Answer:

1/4

Step-by-step explanation:

Use the equation of a line from 2 points.

How do you solve a quadratic equation?

Answers

Oh that's easy, all you have to do is use the quadratic equation :)
ax^2+bx+c
A would be the number squared, b would be the number with just an x and c would be the single number :) Look at the attachment and you can see how to set it all up.
Hope this helps and could you mark me as the brainliest?
if in ax^2+bx+c=0 form then
use quadratic formula
x=\frac{-b+ \sqrt{b^(2)-4ac} }{2a} or \frac{-b- \sqrt{b^(2)-4ac} }{2a}

input and subsitute and that is the answer

Jamal has a plan to save money for a trip. Today, Jamal deposits $10.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account.Let f(x)represent the amount of money Jamal deposits into his savings account at the end of x weeks. Based on the table, what is f(10)?

Answers

Answer:

y = 5x + 10

Step-by-step explanation:

using the formula y = mx + b you can easily find the answer.

where

m = the rate of change

b = constant

x = the independent variable

Since he has the initial $10.00 added to the account, we know that is the constant since he won’t be adding that anymore.

Since he will be adding $5.00 to the account every month we know that this is the rate of change.

the variable x will change depending on the number of months passed.

Therefore we can create the equation:

y = 5x + 10

Could somebody Please help me

Answers

Correct answer is B :)
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