Question

1. $-4x + 9y = 26$

$4x - 2y = 16$

Explanation:

Step1: Add the two equations

$$(-4x + 9y) + (4x - 2y) = 26 + 16$$
$$7y = 42$$

Step2: Solve for $y$

$$y = \frac{42}{7} = 6$$

Step3: Substitute $y=6$ into second equation

$$4x - 2(6) = 16$$
$$4x - 12 = 16$$

Step4: Solve for $x$

$$4x = 16 + 12 = 28$$
$$x = \frac{28}{4} = 7$$

Answer:

$x=7$, $y=6$