Question

Use substitution to answer. Estimate as necessary.

-1/10x+1/2y=4/5
1/7x+1/3y=-2/21

please helppp, use substitution method to answer

Answer 1

To solve the system of equations using substitution method, we can start by solving for one variable in one equation and then substitute that expression into the other equation. The solution for the given system of equations is x = -3, y = 1.

Step-by-step explanation:

In order to solve the system of equations using substitution method, we can start by solving one equation for one variable and then substitute that expression into the other equation. Let's solve the first equation for x:

-1/10x + 1/2y = 4/5

we can multiply both sides of the equation by 10 to clear the fraction:

-x + 5y = 8

Now, solve this equation for x:

x = 5y - 8

Now, substitute this expression for x into the second equation:

1/7(5y - 8) + 1/3y = -2/21

Now we can solve this equation for y:

5/7y - 8/7 + 1/3y = -2/21

Multiply both sides by 21 to clear the fractions:

15y - 24 + 7y = -2

Combine like terms:

22y - 24 = -2

Add 24 to both sides:

22y = 22

Divide both sides by 22:

y = 1

Now substitute this value back into the expression we found for x:

x = 5(1) - 8

x = 5 - 8

x = -3

Therefore, the solution to the system of equations is x = -3, y = 1.