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, .
Answer:
40 degrees and 45 degrees
Step-by-step explanation:
If you subtract 95 degrees from a 180-degree triangle, you are left with 85 degrees. To proportionally split them, find two values that add to the same value. Since 40 and 45 make up 80 and they multiply by two to make 80:90, these are the two measures.
Answer:
Answer: The statements are numbers 1, 3, 4
The non statements are 2, 5, 6
Step-by-step explanation:
Answer:
First one is a slope between 0 and 1
second one is a slope lower than 0
third one is a slop higher than 1
last one is a slope higher than 1 (technically undefined)
Step-by-step explanation:
Answer:
Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
Let x be the number of hats and y be the number of scarves Elliot will make.
Elliott wants to make a total of 20 items, then
x + y = 20
Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then
0.1y = 2(0.2x)
Thus,
0.1y = 0.4x
y = 4x
Substitute it into the first equation:
x + 4x = 20
5x = 20
x = 4
y = 20 - 4
y = 16
Hence, Elliot will make 4 hats and 16 scarves
