I keep getting this wrong and can't figure out why
{60x+10y=-16
-50x-100y=50
The solution to the system is:
the first as is : 60x + 10y = -16
divide 2nd by 10: -5x - 10y = 5
add them
55x = -11
x = -11/55 = -1/5
plug back into -5x - 10y = 5
-5(-1/5) - 10y = 5
1 - 10y = 5
-10y = 4
y = -2/5
thanks so much!
To solve the given system of equations:
Step 1: Choose one equation and solve for one variable in terms of the other variable. Let's choose the first equation.
60x + 10y = -16
Solving for x, we get:
60x = -10y - 16
Divide both sides by 60:
x = (-10y - 16) / 60
x = (-5y - 8) / 30
Step 2: Substitute the expression for x into the second equation and solve for y.
-50x - 100y = 50
Substituting the expression for x, we get:
-50((-5y - 8) / 30) - 100y = 50
Simplify:
(-(-5y - 8) / 6) - 100y = 50
(5y + 8) / 6 - 100y = 50
Multiply both sides by 6 to eliminate the fraction:
5y + 8 - 600y = 300
Combine like terms:
-595y + 8 = 300
Subtract 8 from both sides:
-595y = 292
Divide both sides by -595:
y = 292 / -595
Simplify:
y = -292 / 595
Step 3: Substitute the value of y into the expression for x to find its value.
x = (-5y - 8) / 30
Substituting y = -292 / 595, we get:
x = (-5(-292 / 595) - 8) / 30
Simplify:
x = (1460 / 595 - 8) / 30
x = (1460 - 8*595) / (595 * 30)
x = (1460 - 4760) / (17850)
x = -3300 / 17850
Simplify:
x = -2 / 11
Therefore, the solution to the system of equations is x = -2/11 and y = -292/595.