Question

don't worry about the other writing I want to see it worked out step by step so I can work the rest out and learn how to do them. PLEASE DO NOT WRITE ON HERE UNLESS YOU ARE WORKING KT OUT STRP BY STEP AND I WILL GIVE BRAINLYIST ONCE CONFIRMED BY TUTOR.JUST NUMBER ONE.​

Answer 1

Answer:

see below

Step-by-step explanation:

6y = 12x + 26

15y = 45x + 60

First let's simplify these equations.

6y = 12x + 26

Divide each term by 6.

y = 2x + 26/6

Simplify the fraction.

26/6

= 13/3

Your simplified equation is:

y = 2x + 13/3

Let's simplify the other equation.

15y = 45x + 60

Divide each term by 15.

y = 3x + 4

These are your simplified equations.

y = 2x + 13/3

y = 3x + 4

We can see that the slope of the first equation is not equal to the slope of the second equation.

• equation 1: slope is 2 shown from 2x
• equation 2: slope is 3 shown from 3x

The y-intercept of the first equation is not equal to the y-intercept of the second equation.

• equation 1: y-intercept is 13/3 shown by + 13/3
• equation 2: y -intercept is 4 shown by + 4

Now we want to solve the equations.

Both equations are equal to y, so you can set them equal to each other.

2x + 13/3 = 3x + 4

Combine like terms.

1/3 = x

Plug x = 1/3 into both of the equations separately..

y = 2(1/3) + 13/3

y = 2/3 + 13/3

y = 15/3

y = 5

y = 3(1/3) + 4

y = 3/3 + 4

y = 1 + 4

y = 5

Your solution is (1/3, 5)

The system of equations has one solution.

Hope this helps!