Question

question
solve the system by substitution.
-y = x
3x + 5y = 20

Explanation:

Step1: Express x in terms of y

From \(-y = x\), we have \(x=-y\).

Step2: Substitute x into the second equation

Substitute \(x = -y\) into \(3x + 5y=20\). We get \(3(-y)+5y = 20\).

Step3: Simplify and solve for y

Simplify \(3(-y)+5y = 20\): \(-3y + 5y=20\), which is \(2y = 20\). Divide both sides by 2: \(y = 10\).

Step4: Solve for x

Substitute \(y = 10\) into \(x=-y\), so \(x=-10\).

Answer:

The solution to the system is \(x = - 10\), \(y = 10\) (or as an ordered pair \((-10,10)\))