Answer:
x = −2 and y = 2
Explanation:
Multiply the first equation by 2, and multiply the second equation by 1.
2(−3x + 2y = 10)
1(6x + 6y = 0)
Becomes:
−6x + 4y = 20
6x + 6y = 0
Add these equations to eliminate x:
10y = 20
Then solve 10y = 20 for y:
10y = 20
10y/10 = 20/10 (Divide both sides by 10)
y = 2
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−3x + 2y = 10
Substitute 2 for y in −3x + 2y = 10:
−3x + (2)(2) = 10
−3x + 4 = 10(Simplify both sides of the equation)
−3x + 4 − 4 = 10 − 4(Subtract 4 to both sides)
−3x = 6
-3x/-3 = 6/-3 (Divide both sides by -3)
x = −2