Question

x = 4y - 7\
3x = 2y - 1

Explanation:

Step1: Substitute $x$ into second equation

Substitute $x=4y-7$ into $3x=2y-1$:
$$3(4y-7)=2y-1$$

Step2: Expand and simplify left side

$$12y-21=2y-1$$

Step3: Isolate $y$-terms on left

Subtract $2y$ from both sides:
$$12y-2y-21=-1$$
$$10y-21=-1$$

Step4: Solve for $y$

Add 21 to both sides, then divide by 10:
$$10y=20$$
$$y=\frac{20}{10}=2$$

Step5: Substitute $y$ to find $x$

Plug $y=2$ into $x=4y-7$:
$$x=4(2)-7=8-7=1$$

Answer:

$x=1$, $y=2$