How do I go about solving this math problem?

Question

Solve the system by the method of your choice:
8x+7y=56
y= -8/7x +8
Choose the correct form of the solution below:
no solution
one solution { (a, b) }
infinite solutions { (x, y) | y = ax + b }

If your choice includes a letter a or b, enter the correct numeric value. Otherwise, enter N/A.
a =
b =

Answer 1

8x + 7y = 56- - - - -Equation 1
y = - 8/7x + 8- - - - Equation 2
- - - - - - - - - -

Convert equation 2 to standard form

y = - 8/7x + 8

Multiply both sides of the equation by 7

7(y) - 7(8/7x) + 7(8)

7y = - 8x + 56

Transpose - 8x

8x + 7y = - 8x + 56 + 8x

8x + 7y = 56. . .←. .Standard form

Combine the standard form equation with equation 1

- - - - - - - -

8x + 7y = 56
8x + 7y = 56
- - - - - - - - - -
Multiply equation 1 by - 1

- 1(8x) +(- 1)(8y) = - 1(56)

- 8x + (- 8y) = - 56

Remove parenthesis

- 8x - 8y = - 56

- - - - - - - - - --

- 8x - 8y = - 56
8x + 8y = 56
- - - - - - - - - -

The coefficients, variables and constants cancell. No solution.

- - - - - - - -s-

Answer 2

8x+7y=56------[1]

y= -8/7x +8
y + 8/7x = 8 or 8/7x + y = 8------[2]

now multiply [2] by 7
=> 8/x +7y = 56------[3]

now subtract [3] from [1]
8x + 7y = 56
8/x + 7y = 56
- - -
(8x^2 - 8)/x + 0 = 0

8x^2/x - 8/x =0
8x = 8/x
8x^2 = 8
x^2 = 8/8 = 1
x = +1 or -1

since 8x + 7y = 56
therefore, if x = + 1
then, 8 + 7y = 56
7y = 56 - 8 = 48
y = 48/7

and if x = -1
then, -8 + 7y =56
7y = 56 + 8 = 64
y = 64/7

therefore, x = +1 or -1
and y = 48/7 or 64/7

also if x = +1 then y = 48/7 and if x = -1 then y = 64/7

two solutions

NOTE: x^2 = x raised to the power 2

keep smiling...
:-):-)

Answer 3

Let's try plugging y=-(8/7) x + 8 into 8x + 7y = 56

8x + 7[(-8/7)x + 8] = 56

8x - 8x + 56 = 56

56 = 56

Infinite solutions { (x,y) | y = -(-8/7)x + 8}

Answer 4

It has infinite solutions with a= -8/7 and b =8. Essentially, the two equations you have been given are identical and that means you have two variables with only one equation (which represents a straight line with infinite number of points in a plane).

Answer 5

This problem is not very hard. In the first equation solve for y. You will then see that the problem is simple to answer.

Answer 6

8x=56-7y
x=(56/8)-(-7y/8)