In this worksheet, we will practice solving systems of linear equations using substitution.
Q1:
Find π₯ given 2π₯βπ¦=5 and π¦=7π₯.
Q2:
Use substitution to solve the simultaneous equations 13π₯+23=π¦,6π₯+35π¦=645.
Q3:
Solve the simultaneous equations π¦+4π₯=β8 and π¦=5π₯+10.
Q4:
Solve the simultaneous equations π₯+4π¦=17 and 2π₯+7π¦=5.
Q5:
Solve the following system of equations: 5π₯β2π¦=8,4π₯+3π¦=11.
Q6:
Find the number of solutions to the following system of equations: π¦=π₯+1,π¦=βπ₯+9.
Q7:
Solve the following system of equations if possible: π¦=π₯+1,π¦=π₯β9.
Q8:
Find the number of solutions to the following system of equations: π¦+2π₯=4,2π¦+4π₯=8.
Q9:
Two numbers have a sum of 56. If one number is one-third of the other, what are the numbers?
Q10:
A manβs age is 9 more than 2 times his sonβs age. Given that the sum of their ages is 57, find each of their ages.
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