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maw [93]
3 years ago
6

Write the linear equation 2x + 3y = 12 in slope intercept form .

Mathematics
2 answers:
Lesechka [4]3 years ago
8 0
Idk this one REEE! i’m so sorry i can’t help :(
nevsk [136]3 years ago
8 0
1. subtract 2x from both sides to get 3y=-2x+12
2. divide 3 from both sides to isolate “y” to get y= -2/3x+ 4
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zepelin [54]

Answer:

Multiply the first equation by 3 and multiply the second equation by -2.

This is justified by the multiplication property of equality

Step-by-step explanation:

we have

2x+5y=7 ----> first equation

3x+4y=6 ----> second equation

step 1

Multiple the first equation by 3 both sides

3(2x+5y)=3(7) -----> by multiplication property of equality

6x+15y=21 ----> new first equation

step 2

Multiple the second equation by -2 both sides

-2(3x+4y)=-2(6)  -----> by multiplication property of equality

-6x-8y=-12 ----> new second equation

step 3

Solve the system of equations by elimination

Adds new first equation and new second equation

6x+15y=21\\-6x-8y=-12\\-------\\15y-8y=21-12\\7y=9\\y=\frac{9}{7}

Find the value of x

substitute the value of y in any equation and solve for x

6x+15y=21

6x+15(\frac{9}{7})=21

6x=21-\frac{135}{7}

6x=\frac{12}{7}

x=\frac{2}{7}

The solution is the point (\frac{2}{7},\frac{9}{7})

therefore

Multiply the first equation by 3 and multiply the second equation by -2.

This is justified by the multiplication property of equality

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