6a + 5b = 10 , 6a - b = -110
a=________ b=_________
6a + 5b = 10
6a - b = -110
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Subtact equation 2 from equation which will eliminate a. Solve the resulting equation for b, then substitute into either original equation and solve for a. Post your work if you get stuck. I hope this helps get you started.
To find the values of a and b, we can use the method of elimination by subtracting equation 2 from equation 1 to eliminate the "a" term.
Let's perform the subtraction:
(6a + 5b) - (6a - b) = 10 - (-110)
6a + 5b - 6a + b = 10 + 110
6a - 6a + 5b + b = 120
6b = 120
Now, let's solve for b by dividing both sides of the equation by 6:
6b/6 = 120/6
b = 20
We have found the value of b, which is 20.
To find the value of a, we can substitute the value of b back into either of the original equations. Let's use equation 1:
6a + 5(20) = 10
6a + 100 = 10
6a = 10 - 100
6a = -90
Now, divide both sides of the equation by 6 to solve for a:
6a/6 = -90/6
a = -15
Therefore, the values of a and b are:
a = -15
b = 20