Question

1. $y = 7x - 3$

$-4x + 4y = 12$

Explanation:

Step1: Substitute $y$ into second equation

Substitute $y=7x-3$ into $-4x+4y=12$:
$$-4x + 4(7x - 3) = 12$$

Step2: Expand and simplify the equation

Distribute 4 and combine like terms:
$$-4x + 28x - 12 = 12$$
$$24x - 12 = 12$$

Step3: Solve for $x$

Isolate $x$ by adding 12 then dividing by 24:
$$24x = 12 + 12$$
$$24x = 24$$
$$x = \frac{24}{24} = 1$$

Step4: Solve for $y$ using $x=1$

Substitute $x=1$ into $y=7x-3$:
$$y = 7(1) - 3 = 7 - 3 = 4$$

Answer:

$x=1$, $y=4$