Question

solve each linear system by substit1 \

$$\begin{cases} y = 3x - 11 \\\\ 7x + 2y = 4 \\end{cases}$$

Explanation:

Step1: Substitute y into second equation

Substitute $y=3x-11$ into $7x+2y=4$:
$7x + 2(3x - 11) = 4$

Step2: Expand and simplify the equation

$7x + 6x - 22 = 4$
$13x - 22 = 4$

Step3: Solve for x

$13x = 4 + 22$
$13x = 26$
$x = \frac{26}{13} = 2$

Step4: Substitute x to find y

Substitute $x=2$ into $y=3x-11$:
$y = 3(2) - 11 = 6 - 11$

Answer:

$x=2$, $y=-5$