Solve the system of equations

3x + 6y = 21
-5x + 2y = 13

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To solve this system of equations, we can use the method of substitution or elimination. Here we will use the method of elimination.

First, we'll multiply the first equation by 5 and the second equation by 3 to get rid of the x terms:
15x + 30y = 105
-15x + 6y = 39

Now, we'll add these two equations together to eliminate the x terms:
36y = 144

Now divide by 36 to get the value of y:
y = 4

Next, substitute the value of y back into one of the original equations to solve for x:
3x + 6(4) = 21
3x + 24 = 21
3x = -3
x = -1

Therefore, the solution to the system of equations is x = -1 and y = 4.

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