Solve the following system of equations by elimination. What is the value of x? x = 1.5 x = -1.5 x = 8 x = -8
1 answer:
Using the elimination method, the value of x in the system of equations is calculated as: 8.
<h3>How to Solve a System of Equations by Elimination?</h3>To solve a system of equations given using the elimination method, do the following:
Multiply 2x - 5y = 1 by 2 and multiply -3x + 2y = -18 by 5 to get the following:
4x - 10y = 2 --> eqn. 1
-15x + 10y = -90 --> eqn. 2
Add
-11x = -88
Divide both sides by -11
x = 8
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<h3>Area of shaded region is 21.5 square centimeter</h3>
<em><u>Solution:</u></em>
The area of the shaded region is equal to the area of the square minus the area of the circle
<em><u> Find the area of the square</u></em>
Where, "a" is the length of each side
From given figure in question,
a = 10 cm
<em><u>Find the area of circle </u></em>
The area of the circle is given as:
Where, "r" is the radius of circle
Diameter = 10 cm
Thus,
<em><u>Find the area of the shaded region</u></em>
Area of shaded Region = Area of Square - Area of Circle
Area of shaded Region = 100 - 78.5 = 21.5
Thus area of shaded region is 21.5 square centimeter