Question

algebra1 (h)-4
4-2: mathxl 12 problems
solve the system of equations by the substitution method.
$\

$$\begin{cases} x + 11y = 41 \\\\ 4x + 6y = 12 \\end{cases}$$

$
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution is . (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: Isolate $x$ from first equation

$x = 41 - 11y$

Step2: Substitute $x$ into second equation

$4(41 - 11y) + 6y = 12$

Step3: Expand and simplify the equation

$164 - 44y + 6y = 12$
$164 - 38y = 12$

Step4: Solve for $y$

$-38y = 12 - 164$
$-38y = -152$
$y = \frac{-152}{-38} = 4$

Step5: Substitute $y=4$ back to find $x$

$x = 41 - 11(4) = 41 - 44 = -3$

Answer:

A. The solution is $(-3, 4)$