Question

-3x+4y=7 y=3x-5 I NEED HELP PL Z HELP ME

Answer 1

`- 3x + 4y = 7 \\ y = 3x - 5`

• [Substitute the given value of y into the first equation]

`- 3x + 4 * (3x - 5) = 7`

• [Distribute 4 through the parentheses]

`- 3x + 12x - 20 = 7`

• [Collect like terms]

`9x - 20 = 7`

• [Move the constant to the right-hand side and change its sign]

`9x = 7 + 20`

• [Add the numbers]

`9x = 27`

• [Divide both sides of the equation by 9]

`x = 3`

• [Substitute the given value of x into the second equation]

`y = 3 * 3 - 5`

• [Multiply the numbers]

`y = 9 - 5`

• [Subtract the numbers]

`y = 4`

• [The possible solution of the system is the ordered pair (x,y)]

`(x,y)=(3,4)`