Question

Solve the system of equation.

+3=17
x
+
3
y
=
17

−+2=8
−
x
+
2
y
=
8



Step 1: Find the LCM to eliminate the x.

Step 2: Write the new equation.

Step 3: Divide to solve for y.

Answer 1

Equation 1: x + 3y = 17

Equation 2: -x + 2y = 8

Add Equation 2 to Equation 1:

x + 3y = 17

+ -x + 2y = 8

5y = 25

Divide both sides by 5:

`\sf \implies (5y)/(5)=(25)/(5)`

`\sf \implies y=5`