Answer:
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
Now solve using inverse operations,
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
Substitute,
Solve,
Thus, the answer to this system of equations is the following, .
The solution is x=1 and y=-2
Further explanation:
Given equations are:
Multiplying equation no. 1 with 2 will give us:
Eqn 3
From equation no 2:
Putting the value of y in eqn 3
The solution is x=1 and y=-2
Keywords: Linear equations, Solution set
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Answer:
if 8 people take 10 hours then
1 people 10 / 8 = 1.25 hours
then 14 people =
14 * 1.25 = 17.5 hours
Answer:
The equation of the Parallel line to the given line is 5x+y-7=0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the line y = - 5x+4 and point (1,2)
The equation of the Parallel line to the given line is ax+by+k=0
Given straight line 5x + y -4 =0
The equation of the Parallel line to the given line is 5x+y+k=0
This line passes through the point (1,2)
5x+y+k=0
5(1)+2+k=0
⇒ 7+k=0
k =-7
<u>Final answer:-</u>
The equation of the Parallel line to the given line is 5x+y-7=0
