2x-3y=17 and 5y=-11 and Y show me how to figure out what is the value of x and y?
since 5y = -11, y = -11/5
Now use that to find x.
2x-3(-11/5) = 17
2x + 33/5 = 85/5
2x = 52/5
x = 26/5
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To solve the system of equations 2x - 3y = 17 and 5y = -11, we can follow these steps:
Step 1: Solve the second equation for y:
5y = -11
Divide both sides by 5:
y = -11/5
y = -2.2
Step 2: Substitute the value of y into the first equation and solve for x:
2x - 3(-2.2) = 17
Simplify inside the brackets:
2x + 6.6 = 17
Subtract 6.6 from both sides:
2x = 17 - 6.6
2x = 10.4
Divide both sides by 2:
x = 10.4/2
x = 5.2
Therefore, the solution to the system of equations is x = 5.2 and y = -2.2.