13.2 Homework Problems: Solving Systems of Equations Using Substitution and Elimination
1. Solve the following systems of equations using substitution
a. 8x – y = 29
2x + y = 11
b. 6r – 5s = 12
s + 6r = 48
c. 3x + 2y = 0
5x – 2y = 8
d. 2x + 2y = 15
x + y = 3
e. ½ x + y = -4
3x – 4y = 6
f. x = 3y + 4
y = 6 – 2x
g. 3y + z = 1
6y + 2z = 3
h. [latex]\frac{1}{6}x\ -\ \frac{1}{12}y\ =-\frac{13}{6}[/latex]
[latex]\frac{1}{5}x\ +\ \frac{1}{4}y\ =\ 2[/latex]
2. Solve the systems of equation using elimination
a. x + 4y = 11
5x – 2y = 11
b. 3x – 2y = 1
2x + y = 10
c. 2x + 3y = 16
x – y = -9
d. 2x + y = 1
5x + 3y = 6
e. 2x + 7y = 11
3x – y = 4
f. 3x = 15 + 2y
5x + 6y = 3
g. 3w = 13 + 5z
4w – 7z – 17 = 0
h. 29.1x – 47.6y = 42.8
11.5x + 72.7y = 25.8