Solve the system of equations x - 2y = - 19 and - 3x + 5y = 48 by combining

the equations.

x = - 1

y = 9

Step-by-step explanation:

to solve this system of equation

let

x - 2y = - 19 ... equation 1

-3x + 5y = 48 ... equation2

from equation 1

x - 2y = - 19 ... equation 1

x = - 19 + 2y ... equation 3

substitute the value of x into equation 2

-3x + 5y = 48 ... equation2

-3 (-19 + 2y) + 5y = 48

57 - 6y + 5y = 48

combine the like terms

-6y + 5y = 48 - 57

-y = - 9

divide both side by -

y = 9

put y = 9 into equation 3

x = - 19 + 2y ... equation 3

x = - 19 + 2 (9)

x = - 19 + 18

x = - 1

therefore the value of x and y is - 1 and 9 respectively

x=-1 and y=9

Step-by-step explanation:

Multiply the first equation by 3, and multiply the second equation by 1.

3 (x-2y=-19)

1 (-3x+5y=48)

Becomes:

3x-6y=-57

-3x+5y=48

Add these equations to eliminate x:

-y=-9

Then solve-y=-9for y:

-y=-9

(divide both sides by - 1)

y=9

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

x-2y=-19

Substitute 9 for y in x-2y=-19:

x - (2) (9) = -19

x-18=-19 (Simplify both sides of the equation)

x-18+18=-19+18 (Add 18 to both sides)

x=-1