Final answer:
he solution to the system of equations is x = 2 and y = 1/3.
Step-by-step explanation:
To find the solution of the system of equations:
y = -7/2x + 11
7x + 2y = 20
Choose a method to solve the system of equations. One option is to use the substitution method.
Start by solving the first equation for x, which gives us x = (11 - y) * 2/(-7).
Substitute this value of x into the second equation and solve for y:
7((11 - y) * 2/(-7)) + 2y
= 20.
Simplify the equation to obtain -8y + 22 + 2y = 20.
Combine like terms: -6y + 22 = 20.
Subtract 22 from both sides: -6y = -2.
Divide by -6 to solve for y: y = 1/3.
Substitute the value of y back into the first equation to find x:
x = (11 - 1/3) * 2/(-7).
Simplify the equation to obtain x = 2.
Therefore, the solution to the system of equations is x = 2 and y = 1/3.