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Solve the simultaneous equations
2x – 3y = 12
3x + 4y = 1

Sagot :

janssonparker345

Answer:

x=3 and y=−2

Step-by-step explanation:

Multiply the first equation by 4,and multiply the second equation by 3.

4(2x−3y=12)

3(3x+4y=1)

Becomes:

8x−12y=48

9x+12y=3

Add these equations to eliminate y:

17x=51

Then solve17x=51for x:

17x=51

17x

17

=

51

17

(Divide both sides by 17)

x=3

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

2x−3y=12

Substitute3forxin2x−3y=12:

(2)(3)−3y=12

−3y+6=12(Simplify both sides of the equation)

−3y+6+−6=12+−6(Add -6 to both sides)

−3y=6

−3y

−3

=

6

−3

(Divide both sides by -3)

y=−2

doomdabomb

Answer:

[tex](3,-2)[/tex]

Step-by-step explanation:

[tex]2x-3y=12[/tex]

[tex]2(3)-3(-2)=12[/tex]

[tex]6--6=12[/tex]        Two negative signs together makes a addition

[tex]3x+4y=1[/tex]

[tex]3(3)+4(-2)=1[/tex]

[tex]9-8=1[/tex]            

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