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]

$- 3x + 4 \times (3x - 5) = 7$

• [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]

$y = 3 \times 3 - 5$

• [Multiply the numbers]

$y = 9 - 5$

• [Subtract the numbers]

$y = 4$

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

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