A) Solving a system of equations by substitution with an y ...
Honors Algebra 1 Name:_______________________________
Solve each system of equations using the substitution method.
1. y = 6x - 17
3x - 6y = -30
4. y = 4x - 7
x + 8y = 76
2. x = y - 4
6x + 5y = -46
5. y = 2x
x - y = 4
3. 7x + y = -26
2x + 11y = 39
6. x - 7y = 62
3x + 2y = 2
Solve using a system of equations.
7. The sum of two numbers is 94. Their difference is 12. Find the numbers.
8. The sum of two numbers is 76. Their difference is 36. Find the numbers.
9. One number is 4 more than the other. Their sum is 8. Find the numbers.
10. One number is 8 more than the other. Their sum is 66. Find the numbers.
Key
Solve each system of equations using the substitution method.
1. ans: (4, 7)
2. ans: (4, 9)
3. ans: (-6, -2)
4. ans: (-4, -8)
5. ans: (-5, 9)
6. ans: (6, -8)
Solve each using a system of equations
7. The numbers are 53 and 41
8. The numbers are 56 and 20
9. The numbers are 2 and 6
10. The numbers are 29 and 37
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