Solve the following independent system of equations.5𝑥−4𝑦=−22.210𝑥−4𝑦=−9.2𝑥= 𝑦=
Question
Solve the following independent system of equations.5𝑥−4𝑦=−22.210𝑥−4𝑦=−9.2𝑥= 𝑦=
Solution
The given system of equations is:
- 5x - 4y = -22
- 10x - 4y = -9
Let's solve it step by step:
Step 1: Subtract the second equation from the first to eliminate y. This gives:
5x - 10x = -22 - (-9) -5x = -13 x = 13/5 = 2.6
Step 2: Substitute x = 2.6 into the first equation to solve for y:
5(2.6) - 4y = -22 13 - 4y = -22 -4y = -22 - 13 -4y = -35 y = -35 / -4 = 8.75
So, the solution to the system of equations is x = 2.6 and y = 8.75.
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