Step 1:
Solve one of the equations for either x = or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.
Example 1: Solve the following system by substitution
Substitution Method Example
Solution:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
solution step 1
Step 2: Substitute the solution from step 1 into the second equation.
solution step 2
Step 3: Solve this new equation.
solution step 3
Step 4: Solve for the second variable
solution step 4
The solution is: (x, y) = (10, -5)
Hope this helps!
Answer: the number of minutes of long distance call that one can make is lesser than or equal to 12 minutes.
Step-by-step explanation:
Let x represent the number of minutes of long distance call that one makes.
The first three minutes of a call cost $2.10. After that, each additional minute or portion of a minute of that call cost $0.45. This means that if x minutes of long distance call is made, the total cost would be
2.10 + 0.45(x - 3)
Therefore, the inequality to find the number of minutes one can call long distance for $6.15 is expressed as
2.10 + 0.45(x - 3) ≤ 6.15
2.10 + 0.45x - 1.35 ≤ 6.15
0.75 + 0.45x ≤ 6.15
0.45x ≤ 6.15 - 0.75
0.45x ≤ 5.4
x ≤ 5.4/0.45
x ≤ 12
Answer:
280
Step-by-step explanation:
first make a proportion. 7 over 250= x over 10,000. cross multiply to get 250x=70,000. 70,000 divided by 250 which gets you 280.
Answer: " m∠SRW = 95 ° " .
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Since m∠TRV = 95° ;
and: ∠TRV and ∠SRW are vertical angles;
and: we are given: " m∠TRV = 95° " ;
and: vertical angles are congruent;
So, m∠TRV = m∠SRW = 95° .
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Answer:
Solution: 
, 3.5, -15, 5
Not a solution: 129 and 
Step-by-step explanation:
20 ≥ 5 + 3x
3x + 5 ≤ 20
3x ≤ 20 - 5
3x ≤ 15
x ≤ 5
x must be LESS than or EQUAL to 5
