Step 1:
Line up respective variables in column.
.................(1)
.................................(2)
Step 2:
We need to multiply first equation with -2 so that the coefficient of b becomes equal and opposite of -8.
*2
...................(3)
Step 3:
Add equation (2) and (3)

The b terms will cancel out and we are left with only a terms.
-11a = 22
dividing both sides by -11
a=-2
Step 4:
plug this value of a in equation (1) to find value of b,



b=-9
Answer : a=-2 and b =-9
The solution of the inequality is x ≥ -3 and the graph is shown below
<h3>Graph of inequalities </h3>
From the question, we are to determine the graph that represents the given inequality
The given inequality is
−3x + 1 ≤ 10
First, we will solve the inequality
−3x + 1 ≤ 10
Subtract 1 from both sides
−3x +1 -1 ≤ 10 - 1
−3x ≤ 9
Divide both sides by -3 and<u> flip the sign</u>
x ≥ -3
The graph of the inequality is shown below
Learn more on Graphing inequalities here: brainly.com/question/13053003
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Answer:
x = −6
Explanation:
5x + 7y = -23
Y = -2x - 11
Substitute -2x - 11 for y in 5x + 7y = -23
5x + 7(−2x − 11) = −23
Simplify both sides of the equation
5x + 7(−2x − 11) = −23
5x + (7)(−2x ) + (7)(−11) = −23 (Distribute)
5x + −14x + −77 = −23
(5x + −14x) + (−77) = −23 (Combine Like Terms)
−9x + −77 = −23
−9x − 77 = −23
Add 77 to both sides
−9x − 77 + 77 = −23 + 77
−9x = 54
Divide both sides by -9
−9x / -9 = 54 / -9
x = -6
Complementary angles sum to 90°. Supplementary angles sum to 180°.