To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the first equation for x:
3x + 6y = 21
3x = 21 - 6y
x = (21 - 6y) / 3
x = 7 - 2y
Step 2: Substitute this value of x into the second equation.
-5x + 2y = 13
-5(7 - 2y) + 2y = 13
-35 + 10y + 2y = 13
12y - 35 = 13
Step 3: Simplify and solve for y.
12y = 13 + 35
12y = 48
y = 48/12
y = 4
Step 4: Substitute the value of y back into one of the original equations to solve for x.
3x + 6y = 21
3x + 6(4) = 21
3x + 24 = 21
3x = 21 - 24
3x = -3
x = -3/3
x = -1
Therefore, the solution to the system of equations is x = -1 and y = 4.
sole the system equations
3x+6y=21
-5x+2y=13
1 answer