Analyze the diagram below and complete the instructions that follow.
1 answer:
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Given the system of equations:
To solve it by substitution, follow the steps below.
Step 1: Solve one linear equation for x in terms of y.
Let's choose the second equation. To solve it for x, add 3y to each side of the equations.
Step 2: Substitute the expression found for x in the first equation.
Step 3: Isolate y in the equation found in step 2.
To do it, first, add 48 to both sides.
Then, divide both sides by 15.
Step 4: Substitute y by 5 in the relation found in step 1 to find x.
Answer:
x = -9
y = 5
or (-9, 5)
Also, you can graph the lines by choosing two points from each equation, according to the picture below.
Answer:
36 tiles
Step-by-step explanation:
Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:
81 = x²
So to find x, we must square root both sides of the equation:
x = 9
So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:
9 * 4 = 36
So there are 36 tiles along the edge of the room.
Hope this helps!