Find the solution of the system of equations.
3x+4y=-7
-3x=8y=-1

x = -5

y = 2

Step-by-step explanation:

3x + 4y = -7 eqn 1

-3x - 8y = -1 eqn 2

First, let's take eqn 1, to find the value of y

3x + 4y = -7

Make y the subject of the formula

4y = -7 - 3x

Divide both sides by 4, to get y

4y/4 = -7 - 3x / 4

y = (-7 - 3x) / 4

Substitute y into eqn 2

-3x - 8y = -1

-3x - 8(-7 - 3x) / 4 = -1

Open the bracket with -8

-3x + (56 + 24x )/ 4 = -1

LCM = 4

(-12x + 56 + 24x) / 4 = -1

(-12x + 24x + 56) / 4 = -1

(12x + 56)/4 = -1

Cross multiply

12x + 56 = -4

12x = -4 -56

12x = - 60

Divide both sides by 12 , the get the exact value of x.

12x/12 = -60/12

x = - 5

Insert the value of x = -5 into the equation 1

3x + 4y = -7

3(-5) + 4y = -7

-15 + 4y = -7

4y = -7 + 15

4y = 8

Divide both sides by 4

4y/ 4 = 8/4

y = 2

Hint, to confirm if the values are correct

Pick any of the two eqns

Let's pick eqn 2.

-3x - 8y = -7

x = -5

y = 2

-3(-5) - 8(2) =

= 15 - 16

= -1

So therefore, our values are correct

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.