Question

1. $y=5x-13$

$19=2y+5x$
$y=$___
$x=$___

Explanation:

Step1: Substitute $y$ into the second equation

Substitute $y=5x-13$ into $19=2y+5x$:
$$19=2(5x-13)+5x$$

Step2: Expand and simplify the equation

$$19=10x-26+5x$$
$$19=15x-26$$

Step3: Isolate the term with $x$

$$15x=19+26$$
$$15x=45$$

Step4: Solve for $x$

$$x=\frac{45}{15}=3$$

Step5: Substitute $x$ to find $y$

Substitute $x=3$ into $y=5x-13$:
$$y=5(3)-13=15-13=2$$

Answer:

$y=2$, $x=3$