Question

1. solve the system of equations graphed on the coordinate axes below.

$y = 3x - 5$
$y = -dfrac{3}{2}x + 4$

Explanation:

Step1: Set equations equal to each other

$3x - 5 = -\frac{3}{2}x + 4$

Step2: Multiply to eliminate fraction

Multiply all terms by 2: $6x - 10 = -3x + 8$

Step3: Combine like terms for x

$6x + 3x = 8 + 10$
$9x = 18$

Step4: Solve for x

$x = \frac{18}{9} = 2$

Step5: Substitute x to find y

Substitute $x=2$ into $y=3x-5$:
$y = 3(2) - 5 = 6 - 5 = 1$

Answer:

The solution is $(2, 1)$