Systems Of Linear Equations Worksheets With Answer Key Page 14
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40Solve the system of linear equations by substitution. Check your solution.
18. y − x = 0
19. x + 4y = 14
20. − 2x − 5y = 3
2
2
2x − 5y = 9
3x + 7y = 22
3x + 8y = − 6
21.
ERROR ANALYSIS
Describe and correct the error in solving the system of
linear equations.
✗
2x + y = 5
Equation 1
Step 1:
Step 2:
3x − 2y = 4
2x + y = 5
2x + (−2x + 5) = 5
Equation 2
y = −2x + 5
2x − 2x + 5 = 5
5 = 5
22.
STRUCTURE
The measure of the obtuse angle in the isosceles
y
triangle is two and a half times the measure of one base angle.
Write and solve a system of linear equations to fi nd the
x
x
measures of all the angles.
23.
ANIMAL SHELTER
An animal shelter has a total of
65 abandoned cats and dogs. The ratio of cats to dogs
is 6 : 7. How many cats are in the shelter? How many
are in the shelter? How many
dogs are in the shelter? Justify your answers.
Justify your answers.
24.
NUMBER SENSE
The sum of the digits of a
m of the digits of a
two-digit number is 8. When the digits are
When the digits are
reversed, the number increases by 36.
ncreases by 36.
Find the original number.
er.
Repeated
Repeated
Reasoning
Reasoning
25.
A DJ has a total of 1075 dance,
rock, and country songs on her system. The
dance selection is three times the size of the
rock selection. The country selection has
105 more songs than the rock selection.
How many songs on the system are dance?
rock? country?
Write the equation in standard form.
(Section 4.5)
26. 3x − 9 = 7y
27. 8 − 5y = − 2x
28. 6x = y + 3
29.
MULTIPLE CHOICE
Use the fi gure to fi nd the measure
t
of ∠ 2.
(Section 3.1)
1 2
a
○
○
17°
73°
A
B
107
○
○
b
83°
107°
C
D
Section 5.2
Solving Systems of Linear Equations by Substitution
213
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