Question

Solve the following System of equations. 4x+5y=10 8x+5y=30

Answer 1

Answer:

1. x

=

5

2

−

5

y

4

x=5/2-5y/4

2. x

=

15

4

−

5

y

8

x=15/4-5y/8

Step-by-step explanation:

Answer 2

Answer:

$x=5$

$y=-2$

Step-by-step explanation:

Given the system of equations $\left \{ {{4x+5y=10} \atop {8x+5y=30}} \right.$, you can use the Elimination Method to solve it.

Multiply the first equation by -1, add both equations and then solve for the variable "x":

$\left \{ {{-4x-5y=-10} \atop {8x+5y=30}} \right.\\........................\\4x=20\\\\x=\frac{20}{4}\\\\x=5$

And finally, substitute the value of the variable "x" into any original equation and solve for the variable "y". Then:

$4x+5y=10\\\\4(5)+5y=10\\\\20+5y=10\\\\5y=10-20\\\\y=\frac{-10}{5}\\\\y=-2$