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What is the value of y in the solution to the system of equations?
1/3 x + 1/4y = 1
2x – 3y = –30

Respuesta :

faith2004181818
1 Solve for x in 1/3x+1/4y=1
X=3(1-y/4)

2 Substitute x=3(1-y/4) into 2x-3y=-30
6−9y/2 =−30

3 Solve for y in 6-9y/2=-30
y=8

4 Substitute y=8 into x=3(1-y/4)
x=−3

5 Therefore,
x=-3
y=8

Answer:

[tex]x=-3\\y=8[/tex]

Step-by-step explanation:

Given is a system of equations in two variables x and y as

[tex]\frac{x}{3} +\frac{y}{4} =1\\2x-3y =-30[/tex]

First we will remove the denominator in the equations by taking Lcd

Multiply I equation by 12

[tex]4x+3y =12...iii[/tex]

Add the second equation with iii equation

We get [tex]6x = -18x=-3[/tex]

Substitute in II equation

[tex]2(-3)-3y =-30\\y=8[/tex]

Solution set is

[tex]x=-3\\y=8[/tex]

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