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In Mathematics / High School | 2014-01-29

Solve the system of equations by substitution:

1. \(6x + y = 4\)
2. \(x - 4y = 19\)

Asked by jennifer99

Answer (3)

6x+y=4 X-4y=19
You are going to want to take -4y and put it to the other side: X-4y=19 Which is: x=4y+19 6x+y=4 Now substitute x !
6(4y+19)+y=4 Distribute it 24y+114+y=4 Now combine like terms 25y+114=4 Subtract 114 both sides 25y= -110 Y=-4.4
Now you have y so take either equation and substitute the y X-4(1.4)=19 X+17.6=19 X=1.4 Y=-4.4

Answered by mechal719 | 2024-06-10

The answer is x= 1.4 y=-4.4

Answered by kyahnorth | 2024-06-10

The solution to the system of equations is x = 1.4 and y = − 4.4 . This was found by substituting one equation into the other. First, we solved for x and then substituted it back into the first equation to find y .
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Answered by mechal719 | 2024-11-02