Question

Determine the solution to each system of equations given in the table. Enter your answer in the box provided

Solution
System of Equations
Sy= 2x – 10
y=-3x + 5

Answer 1

x=3 and y=-4

(3,-4)

Explanation:

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Answer 2

x = 3 and y = -4

Explanation:

Solve y = 2x-10 for y:

y=2x-10

Substitute 2x-10 for y in y = -3x+5:

y=-3x+5

2x-10=-3x+5

2x-10+3x=-3x+5+3x (add 3x to both sides)

5x-10=5

5x-10+10=5+10 (add 10 to both sides)

5x=15

5x/5=15/5 (divide both sides by 5)

x = 3

Substitute 3 for x in y = 2x-10:

y=2x-10

y=(2)(3)-10

y=-4 (simplify both sides of the equation.

Therefore your answer is x = 3 and y = -4.