7 x by 5 is equal to 10 how to solve
Answers
Answer:
Step-by-Answer:
x=3 and y=2
Step-by-step explanation:
Given Equation:
Reducible linear equation
Using elimination method to solve for u and v
We will make coefficient of u same in both equation. So, we multiply first equation by 3 and we get
15u-6v=-3
15u+7v=10
Subtract (2) - (1)
7v+6v=10+3
13v=13
v=1
Substitute v into 15u+7v=10
Add both equation and eliminate y
2x=6
x=3
Substitute x=3 into x+y=5
3+y=5
y=2
Hence, x=3 and y=2 is solution of system of equation.
x=3 and y=2
Step-by-step explanation:
Given Equation:
\dfrac{5}{x+y}-\dfrac{2}{x-y}=-1
\dfrac{15}{x+y}+\dfrac{7}{x-y}=10
\dfrac{1}{x+y}=u
\dfrac{1}{x-y}=v
Reducible linear equation
5u-2v=-1
15u+7v=10
Using elimination method to solve for u and v
We will make coefficient of u same in both equation. So, we multiply first equation by 3 and we get
15u-6v=-3
15u+7v=10
Subtract (2) - (1)
7v+6v=10+3
13v=13
v=1
Substitute v into 15u+7v=10
15u+7(1)=10[/tex[</p><p>[tex]u=\dfrac{1}{5}
\dfrac{1}{x+y}=\dfrac{1}{5}\Rightarrow x+y=5
\dfrac{1}{x-y}=1\Rightarrow x-y=1
Add both equation and eliminate y
2x=6
x=3
Substitute x=3 into x+y=5
3+y=5
y=2
Hence, x=3 and y=2 is solution of system of equation.