Solve the system of equations

Question

Negative X plus 6Y equals 13
4X -10 Y equals -10

Answer 1

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

Given equations:
- X + 6Y = 13
4X - 10Y = -10

From the first equation, we can express X in terms of Y by rearranging the equation:
X = 6Y + 13

Now, substitute this value of X into the second equation:
4(6Y + 13) - 10Y = -10
24Y + 52 - 10Y = -10
14Y + 52 = -10
14Y = -10 - 52
14Y = -62
Y = -62 / 14
Y = -31/7

Now that we have found the value of Y, we can substitute it back into the equation X = 6Y + 13 to find the value of X:
X = 6(-31/7) + 13
X = -186/7 + 13
X = -186/7 + 91/7
X = -95/7

Therefore, the solution to the system of equations is:
X = -95/7, Y = -31/7