<h3>
<u>Explanation</u></h3>
- Given the system of equations.

- Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.
To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

There as we can get rid of the y-term by adding both equations.

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.
- Answer Check by substituting both x and y values in both equations.
<u>First</u><u> </u><u>Equation</u>

<u>Second</u><u> </u><u>Equation</u>

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)
<h3>
<u>Answer</u></h3>

Answer:
area = ‐11
Step-by-step explanation:
hope this is correct and helps
Answer:
x ≤ 8
Step-by-step explanation:
Given
2x - 4 ≤ 12
Isolate the term in x by adding 4 to both sides
2x ≤ 16 ( divide both sides by 2 )
x ≤ 8 ← is the solution
<u>Answer-</u>
<em>The area of QRS is </em><em>238.7</em><em> sq units.</em>
<u>Solution-</u>
According to properties of supplementary angles,

So,

As the sum of measurement of all the angles in a triangle is 180, so



Then the area of the triangle will be,



Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0