Question

−3y−4x=−11 3y−5x=−61 ​

Answer 1

$\left \{ {{-3y-4x=-11} \atop {3y-5x=-61}} \right. \\-9x=-72\\x=8\\3y-5*8=-61\\3y=-21\\y=-7\\\\(8;-7)$

Answer 2

Answer:

x = 8

y = -7

Step-by-step explanation:

This is a system of equations called simultaneous equations.

We shall solve it by elimination method

Step 1

We shall label the equations (1) and (2)

−3y−4x=−11.....(1)

3y−5x=−61......(2)

Step 2

Multiply each term in equation (1) by 1 to give equation (3)

1(-3y-4x=-11).....(1)

-3y-4x=-11....(3)

Step 3

Multiply each term in equation 2 by -1 to give equation (4)

-1(3y−5x=−61)......(2)

-3y+5x=61.....(4)

Step 4

-3y-4x=-11....(3)

-3y+5x=61.....(4)

Subtract each term in equation (3) from each term in equation (4)

-3y-(-3y)+5x-(-4x)=61-(-11)

-3y+3y+5x+4x=61+11

0+9x=72

9x=72

Step 5

Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x

9x/9 = 72/9

x = 8

Step 6

Put in x = 8 into equation (2)

3y−5x=−61......(2)

3y-5(8)=-61

3y-40=-61

Collect like terms by adding 40 to both sides of the equation

3y-40+40=-61+40

3y=-21

Divide both sides by 3, the coefficient of y to find the value of y

3y/3=-21/3

y=-7

Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively