Question

Solve the system of equations below. 5x – 2y=18 3x+3y=15

Answer 1

Answer:

x=4, y=1

Step-by-step explanation:

We can solve this set of equations using elimination.

Multiply the first equation by 3:

$15x-6y=54$

Multiply the second equation by 5:

$15x+15y=75$

Now we take $(15x+15y=75)\\ - \\(15x-6y=54)$

$21y=21$

Therefore, $y=1$.

To solve for x, substitute y=1 into the second equation.

$3x+3y=15$

$3x+3(1)=15$

$3x+3=15$

$3x=12$

Hence, $x=4$.