Question

What is the solution to the system of equations? y = -4x + 10 3x + y = 2

Answer 1

Answer:

(8, -22) All real numbers

Step-by-step explanation:

So since we already have the value of y lets Substitute;

3x + (-4x + 10) = 2

Distribute;

3x - 4x + 10 = 2

Collect like terms;

-1x + 10 = 2

Subtract 10 from both sides;

-1x = -8

Divide both sides by -1

x = 8

So now lets get the actual value for y by substituting x;

y = -4(8) + 10

y = -32 + 10

y = -22

(x, y) = (8, -22)