Download 7. {y - 3x = 11 - WHS Algebra I Website

Name
Date
Class
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_P_r_a_c_t_ic_e_B
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TEKS A.8.A
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Solving Systems by Elimination
Follow the steps to solve each system by elimination.
1 {2X- 3y = 14
. 2x+y=-10
2 {3X + Y = 17
. 4x+2y=20
Multiply the first equation by -2. Then.
add the equations:
Subtract the second equation:
2x-3y=14
-(2x + Y = -10)
__ x-J=
__
+ 4x + 2y = 20
Solve the resulting equation:
Solve the resulting equation:
x=
y=----Use your answer to find the value of
x
>
Solution: (
)
3 {X + 3y= -7
. -x+2y=-8
4X- Y
=
-5
+ 3y = 10
y
y=-----
Solve each system by elimination.
6. {-2x
Use your answer to find the value of
x:
_
Solution: (
_
Check your answer.
4 {3X+ y= -26
. 2x-y=-19
7.
)
{y -
3x = 11
2y - x = 2
X + 3y = -14
5. { 2x - 4y = 32
8 {-10X + Y = 0
. 5x + 3y= -7
Solve.
9.
Brianna's family spent $134 on 2 adult tickets and 3 youth tickets
at an amusement park. Max's family spent $146 on 3 adult tickets
and 2 youth tickets. Wha.t is the price of a youth ticket?
10. Carl bought 19 apples of 2 different varieties to make a pie.
The total cost of the apples was $5.10. Granny Smith apples
cost $0.25 each and Gala apples cost $0.30 each. How many
of each type of apple did Carl buy?
Copyright ~ by Holt, Rinehatt and Winston.
All rights reserved,
42
Holt Algebra 1
Name
Date
Class
_
OJ' Practice
C
Solving Systems by Elimination
I
Solve each system by elimination.
X+Y=2
1. {2x _ Y = 7
2.
-3X-4Y=-2
4. { 6x + 4y = 3
2X - 2y = 14
5. { x + 4y = -13
7 {X + 6y = 1
. 2x - 3y = 32
8.
5X - 2y = -48
-23
10. {2x+ 3y=
{3X-2Y=-2
3x + Y = 10
3.{X+Y=-7
x-y=5
6
{y -
+ y= 4
1
-x - Y = -3
3
-~X
3X + Y = -15
9. { 2x - 3y = 23
4X - 3y = -9
11. { 5 x-y=
x = 17
. 2y+3x=-11
3X - 3y = -1
8
12. { 12x-2y=16
13. At a bakery, Riley bought 3 bagels and 2 muffins for $7.25.
Karen bought 5 bagels and 4 muffins for $13.25. What is
the cost of each item?
14. A chemist has a beaker of a 3% acid solution and a beaker of
a 7% acid solution. He needs to make 75 mL of a 4% acid solution.
a. Complete the table.
3% solution
+
7% solution
=
x
+
y
=
Amount of Solution (ml)
Amount of Acid (mL)
__
x
+
--y
=
4% solution
.,
0.04(75)
b. Use the information in the table to write a system of
linear equations.
c. Solve the system of equations to find how much he
will use from each beaker.
Copyright eby Holt. Ri";'hal1 and Win.tori.
All nghts f6servea.
21
Holt Algebra1