Question

algebra i (h)-42: mathxl 12 problemssolve the system of equations by the substitution method.$\begin{cases}x + 10y = 17\\2x + 5y = 4end{cases}$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

$x = 17 - 10y$

Step2: Substitute x into second equation

$2(17 - 10y) + 5y = 4$

Step3: Simplify and solve for y

$34 - 20y + 5y = 4$
$34 - 15y = 4$
$-15y = 4 - 34$
$-15y = -30$
$y = \frac{-30}{-15} = 2$

Step4: Substitute y back to find x

$x = 17 - 10(2) = 17 - 20 = -3$

Answer:

A. The solution is $(-3, 2)$