What is the solution (a, b) to this system of linear equations?

3a+6b=45

2a-2b=-12

(-27, 6)
(-1, 7)
(1, 7)
(27, -6)

c. (1,7)

Step-by-step explanation:

3a+6b=45     (i)

2a-2b=-12      (ii)

3a+6b=45 ⇒ a+2b= 15

and 2a-2b= - 12⇒ a-b= -6

a+2b= 15    (iii)  

a-b= -6        (iv)

we will get,

3b=21

On solving, the value of b is

b=7

a+2b= 15    

a+2(7)=15

a+14=15

a=15-14

a=1

Hence, the required values of (a, b) for given linear equations will be (1,7).

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a=1, b=7. (1, 7).

Step-by-step explanation:

3a+6b=45

2a-2b=-12

simplify 3a+6b=45 into a+2b=15

and 2a-2b=-12 into a-b=-6

a+2b=15

a-b=-6

a+2b=15

-(a-b)=-(-6)

a+2b=15

-a+b=6

3b=21

b=21/3

b=7

a+2(7)=15

a+14=15

a=15-14

a=1

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

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step-by-step explanation:

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