x+5y= -3
3x-2y= 8
sovle using substituion
(1) x + 5y = -3
(2) 3x - 2y = 8
substitution method: we first choose one of the equation, and express one of the variables in terms of the other variable,, here let's choose equation (1), and express x in terms of y:
x + 5y = -3
x = -3 - 5y
now, we substitute this to equation (2), and we solve for y:
3x - 2y = 8
3(-3 - 5y) - 2y = 8
-9 - 15y -2y = 8
-17y = 17
y = -1
substituting this back to either equations to get x (let's choose (1)):
x = -3 - 5y
x = -3 -5(-1)
x = -3 + 5
x = 2
hope this helps~ :)
To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation.
Let's solve the first equation for x:
x + 5y = -3
x = -3 - 5y
Now substitute this value of x into the second equation:
3(-3 - 5y) - 2y = 8
-9 - 15y - 2y = 8
-17y = 17
y = -1
Substitute the value of y back into the first equation to solve for x:
x + 5(-1) = -3
x - 5 = -3
x = 2
Therefore, the solution to the given system of equations is x = 2 and y = -1.