Question

What is the solution to the system of equations below?

y = negative 3 x + 5 and y = 4 x minus 2

Answer 1

(1, 2)

Explanation:

Since we are finding a solution that matches both equations, y = -3x + 5 is equal to y = 4x - 2.

So -3x + 5 = 4x - 2

Then group terms like so by moving them to the other side:

5 + 2 = 4x + 3x

7 = 7x.

Therefore x = 1.

Now to find y we substitue the value of x into an equation that contains y:

Y = 4x - 2

{x = 1}

Y = 4 - 2

Y = 2

Therefore the solution is (1, 2)