To solve the system of equations using substitution method, we can start by solving one equation for one variable and substitute it into the other equation. Let's solve the first equation for x. Now substitute this value of x into the second equation. Therefore, the solution to the system of equations is x = -43/11 and y = 9/11.
To solve the system of equations using substitution method, we can start by solving one equation for one variable and substitute it into the other equation. Let's solve the first equation for x:
-1/10x + 1/2y = 4/5
Multiply every term by 10 to get rid of the fraction: -1x + 5y = 8
Rearrange the equation to solve for x: x = 5y - 8
Now substitute this value of x into the second equation:
1/7(5y - 8) + 1/3y = -2/21
Multiply every term by 21 to get rid of the fraction: 3(5y - 8) + 7y = -6
Simplify and solve for y: 15y - 24 + 7y = -6
Combine like terms: 22y - 24 = -6
Add 24 to both sides: 22y = 18
Divide both sides by 22 to solve for y: y = 18/22 = 9/11
Substitute this value of y back into the equation x = 5y - 8:
x = 5(9/11) - 8
Multiply and subtract: x = 45/11 - 8
Find a common denominator: x = 45/11 - 88/11
Subtract: x = -43/11
Therefore, the solution to the system of equations is x = -43/11 and y = 9/11.