Question

algebra 1 (h)-4
4-2: mathxl 12 problems
solve the system of equations by the substitution method.
$\

$$\begin{cases} 4x+3y=40 \\\\ x=2y-1 \\end{cases}$$

$
select the correct choice below and, if necessary, fill in the answer box to complete your choice
a. the solution is $\square$ (simplify your answer. type an ordered pair.)
b. there are infinitely many solutions.
c. there is no solution.
help me solve this view an example get more help ~

Explanation:

Step1: Substitute x into first equation

Substitute $x=2y-1$ into $4x+3y=40$:
$4(2y-1)+3y=40$

Step2: Expand and simplify

$8y-4+3y=40$
$11y-4=40$

Step3: Solve for y

$11y=40+4$
$11y=44$
$y=\frac{44}{11}=4$

Step4: Solve for x

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

Answer:

A. The solution is $(7, 4)$