Solve the system of equations using the substitution method. y=−1+3/8x 2x−5y=6 enter your answer in the boxes. ( , )

The solution of the given system of equation is (8/31,-28/31) and this can be determined by using the substitution method.

Given :

The following steps can be used in order to solve the given system of equations:

Step 1 - Write the given system of equations.

y = −1 + 3/8x   --- (1)

2x − 5y = 6  --- (2)

Step 2 - Now, substitute the value of 'y' in equation (2).

Step 3 - Simplify the above equation.

31x = 8

x = 8/31

Step 4 - Now, substitute the value of 'x' in equation (1).

y = -28/31

For more information, refer to the link given below:

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y = -1 + 3/8x

2x - 5y = 6

Substitute the first equation into the second equation, since y is already by itself.

2x - 5(-1 + 3/8x) = 6

2x + 5 - 15/8x = 6

2x - 15/8x = 1

16/8x - 15/8x = 1

1/8x = 1 Multiply 8 on both sides to get x by itself

x = 8

Plug x into either of the equations.

y = -1 + 3/8(8)

y = -1 + 3

y = 2

2(8) - 5y = 6

16 - 5y = 6

-5y = -10

y = 2

(8,2)

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

y = i/2 xtnop + (3i/2 tnop+ 1)

step-by-step explanation:

the picture is the step by step explanation.