Question

2 = x" alt="y = 3x - 2 \\ y - 2 = x" align="absmiddle" class="latex-formula">
that's the problem ​

Answer 1

Answer:

The solution to the system of equations be:

x = 2, y = 4

Step-by-step explanation:

Given the system of equation

y - 2 = x

y = 3x - 2

substitute y = 3x - 2 in the equation y - 2 = x

y - 2 = x

(3x - 2) - 2 = x

3x -2 -2 = x

3x - 4 = x

add 4 from both sides

3x - 4 + 4 = x + 4

3x = x + 4

subtract x from both sides

3x - x = x + 4 - x

3x - x = 4

2x = 4

divide both sides by 2

2x/2 = 4/2

x = 2

For y = 3x - 2, plug in x = 2

y = 3x - 2

y = 3(2) - 2

y = 6 - 2

y = 4

Therefore, the solution to the system of equations be:

x = 2, y = 4