Question

solve by the method of your choice.
$5x - 2y = 4$
$2x + y = 7$

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set is {}. (type an ordered pair.)
b. there are infinitely many solutions.
c. there is no solution.

Explanation:

Step1: Isolate y from second equation

$y = 7 - 2x$

Step2: Substitute into first equation

$5x - 2(7 - 2x) = 4$

Step3: Simplify and solve for x

$5x - 14 + 4x = 4$
$9x = 18$
$x = 2$

Step4: Substitute x=2 to find y

$y = 7 - 2(2) = 3$

Answer:

A. The solution set is $\{(2, 3)\}$. (Type an ordered pair.)