We are given a set of systems of linear equations. We need to solve each system for $x$ and $y$ using the substitution method. Let's solve the 4th system. System 4: $y = -3x$ $4x - 2y = -20$

AlgebraSystem of Linear EquationsSubstitution MethodSolving Equations
2025/3/10

1. Problem Description

We are given a set of systems of linear equations. We need to solve each system for xx and yy using the substitution method. Let's solve the 4th system.
System 4:
y=3xy = -3x
4x2y=204x - 2y = -20

2. Solution Steps

We are given the system:
y=3xy = -3x
4x2y=204x - 2y = -20
We can substitute the first equation into the second equation to solve for xx:
4x2(3x)=204x - 2(-3x) = -20
4x+6x=204x + 6x = -20
10x=2010x = -20
x=2x = -2
Now, we substitute x=2x = -2 into the first equation to solve for yy:
y=3(2)y = -3(-2)
y=6y = 6
So the solution is x=2x = -2 and y=6y = 6.

3. Final Answer

x=2,y=6x = -2, y = 6

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