Identify Equations: Identify the given system of equations.We have two equations:1) Y=2x2) 3x+Y=20We need to find the values of x and y that satisfy both equations simultaneously.
Substitute Y in Second: Substitute the expression for Y from the first equation into the second equation.Since Y=2x, we can replace Y in the second equation with 2x to get:3x+2x=20
Combine Like Terms: Combine like terms in the equation from Step 2.3x+2x=5xSo the equation becomes:5x=20
Solve for x: Solve for x.To find the value of x, we divide both sides of the equation by 5:55x=520x=4
Substitute x for Y: Substitute the value of x back into the first equation to find y. We know that Y=2x, so: Y=2(4)Y=8
Check Solution: Check the solution in both original equations.First equation: Y=2x8=2(4)8=8 (True)Second equation: 3x+Y=203(4)+8=2012+8=2020=20 (True)Both equations are true, so the solution is correct.
More problems from Solve equations involving like terms