Question

The graph represents this system of equations.

{y=2x-4
{y=1-3x

What is the solution to the system of equations?

Answer 1

Answer: D (1,-2)

Because both lines meet up at (1,-2)

Answer 2

The answer to your question is (1, -2)

Explanation:

See the graph below, in the graph, the solution is circled (1, -2). The solution is the point where the lines cross.

To check the answer, let's solve the system using algebra.

y = 2x - 4

y = 1 - 3x

2x - 4 = 1 - 3x

2x + 3x = 1 + 4

5x = 5

x = 5/5

x = 1

Find y by substitution

y = 2(1) - 4

y = 2 - 4

y = -2

Solution

(1, -2)