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liubo4ka [24]
3 years ago
12

Solve each system of equations by writing a new system that eliminates one of the variables.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:

x=33\\y=-41

Step-by-step explanation:

Let:

2x+y=25\hspace{5}(1)\\and\\4x+3y=9\hspace{5}(2)

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

2*(1)\equiv\hspace{5}4x+2y=50

Now subtract (2) from 2*(1) in order to eliminate x:

2*(1)-(2)\\4x-4x+2y-3y=50-9\\-y=41

Solving for y:

Multiplying both sides by -1  

y=-41

Finally, replacing the value of y in (1)

2x-41=25

Solving for x:

add 41 to both sides:

2x=66

Multiply both sides by 1/2:

x=\frac{66}{2} =33

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