Question

A system of equations is shown

Y=2x-5
Y=4x + 3

What is the solution to the system of equations?

A (-4,-13)

B(-4,3)

C (4,-13)

D (4,3)

Answer 1

A. (-4,-13)

Explanation:

y = 2x - 5

y = 4x + 3

-2(y = 2x - 5) ==> -2y = -4x + 10

y = 4x + 3 ==> y = 4x + 3

-2y = -4x + 10

y = 4x + 3

___________

-y = 13

/-1 /-1

y = -13

Now we find x, by substituting -13 for y

y = 2x - 5

-13 = 2x - 5

+ 5 +5

-8 = 2x

/2 /2

-4 = x

(x, y) ==> (-4, -13)

Check your answer:

y = 2x - 5

-13 = 2(-4) - 5

-13 = -8 -5

-13 = -13

This statement is correct

Hope this helps!