Solve each system of equations using substitution. Show all work.1) y = 2x - 5
4x - y = 7
2) 2x - 3y = 12
x = 4y + 1
3) y = 5 - x
x - 4y = 10
Answers
y=2x-5
sub that for y
4x-(2x-5)=7
distribute
4x-2x+5=7
2x+5=7
2x=2
x=1
sub back
y=2x-5
y=2(1)-5
y=2-5
y=-3
(1,-3)
2. x=4y+1
sub that for x
2(4y+1)-3y=12
8y+2-3y=12
5y+2=12
5y=10
y=2
sub back
x=4y+1
x=4(2)+1
x=8+1
x=9
(9,2)
3. y=5-x
sub that for y
x-4(5-x)=10
x-20+4x=10
5x-20=10
5x=30
x=6
sub back
y=5-x
y=5-6
y=-1
(6,-1)
soluitons
1. (1.-3)
2. (9,2)
3. (6,-1)
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Answers
The equivalent value of the expression (1/2 x 15) is 7.5.
What is algebraic expression?
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.
Given is to solve the expression as -
1/2 x 15
We can write the expression as -
{x} = 1/2 x 15
{x} = 15/2
{x} = 7.5 x 2/2
{x} = 7.5
Therefore, the equivalent value of the expression (1/2 x 15) is 7.5.
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Answer:
7.5
Step-by-step explanation:
it's basically just 15 divided by 2
6x3 − 24x2 + 6x − 36
6x3 + 24x2 − 6x + 36
6x3 − 24x2 + 6x + 12
Answers
(2x - 6) * (3x^2 - 3x - 6) = 2x * 3x^2 - 2x * 3x - 2x * 6 - 6 * 3x^2 + 6 * 3x + 6 * 6 = 6x^3 - 6x^2 - 12x - 18x^2 + 18x + 36 = 6x^3 - 24x^2 + 6x + 36
The correct result would be 6x^3 - 24x^2 + 6x + 36.
Answer:
Option A is correct.
Correct simplification of the given expression =
Step-by-step explanation:
Given the expression:
The following steps required for the multiplication of polynomials are:
- Distribute each terms of the first polynomial to every term of the second polynomial.
- Combine like terms
Apply these steps to the given expressions;
when you multiply two terms together you must multiply the coefficient (numbers) and add the exponent.
⇒
Combine like terms;
Therefore, the correct simplification of the given expression is,
Answers
the salary was increased each by 10,500 dollars a year
Answers
√51
10
Answers
Answer:
7
Step-by-step explanation:
10² - root 51² = a²
100 - 51 = a²
49 = a²
a = 7