## brookie5150 Group Title 1. For the following system of equations, what is the x-value of the solution? –x + 2y = 6 6y = x + 18 (1 point) –18 0 –6 3 2. The sum of the measures of angle X and angle Y is 90. If the measure of angle X is 30 less than twice the measure of angle Y, what is the measure of angle X? (1 point) 20° 35° 50° 65° 2 years ago 2 years ago

1. jazy

1. Use substitution. Solve for y in the first equation. –x + 2y = 6 Add x. 2y = x + 6 Divide by 2. y = 1/2x + 3. Substitute y into the second equation. Solve for x. 6y = x + 18 6(1/2x + 3) = x + 18 Distribute. 3x + 18 = x + 18 Subtract x. 2x + 18 = 18 Subtract 18. 2x = 0 x = 0

2. jazy

2. The sum of the measures of angle X and angle Y is 90: x + y = 90 X is 30 less than twice the measure of angle Y: x = 2y - 30 You have your two equations. Use substitution. Solve for y in the first equation. x + y = 90 Subtract x. y = -x + 90 Substitute it into the second equation. x = 2y - 30 x = 2(-x + 90) - 30 Distribute. x = -2x + 180 - 30 x = -2x + 150 Add 2x. 3x = 150 Divide by 3. x = 50

3. jazy

Hope this helps! (: