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NeX [460]
3 years ago
14

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

Mathematics
2 answers:
Svetllana [295]3 years ago
3 0

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:

I am Lyosha [343]3 years ago
3 0

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

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