Respuesta :

a=1.5

set the equation up as a system of linear equations

2a+b=9

4a-3b=-12

then multiply the fist equation by 2

4a+2b=18

4a-3b=-12

Now subtract the first equation from the second

5b=30      

b=6

Now plug b back into one of the equations

2a+b=9

2a+6=9

2a=3

a=1.5

The value of a is 1.5 .

What is elimination method?

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the question

The equations are :

2a = 9 − b  

2a + b = 9 ------------------- (1)

4a = 3b − 12

4a - 3b = -12------------------- (2)

Now,

solving both equation by elimination method

Multiplying equation (1) by 2

to make equal coefficient for a

So,  a can be eliminated

2(2a + b ) = 2*9

4a + 2b = 18 -------------- (3)

Now,

Subtracting eq(2) from (3)

4a + 2b = 18

-4a + 3b = 12

5b = 30

b = 6

Putting value of b in eq(1)

2a + b = 9

2a + 6 = 9

2a = 3

a = 1.5

Hence, The value of a is 1.5 .

To know more about elimination method here:

brainly.com/question/14619835

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