System−6x+5y=23−6𝑥+5𝑦=23−2x+5y=11−2𝑥+5𝑦=11Solution:
Question
System−6x+5y=23−6𝑥+5𝑦=23−2x+5y=11−2𝑥+5𝑦=11Solution:
Solution
Sure, here is the step-by-step solution for the system of equations:
The system of equations is:
- -6x + 5y = 23
- -2x + 5y = 11
Step 1: Subtract the second equation from the first to eliminate y:
(-6x + 5y) - (-2x + 5y) = 23 - 11 -4x = 12
Step 2: Solve for x:
x = 12 / -4 x = -3
Step 3: Substitute x = -3 into the second equation to solve for y:
-2(-3) + 5y = 11 6 + 5y = 11 5y = 11 - 6 5y = 5 y = 5 / 5 y = 1
So, the solution to the system of equations is x = -3 and y = 1.
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