Solve for x and graph the solution on the number line below.
2 answers:
Answer:
See image
Step-by-step explanation:
"Solve for x" means get the x all by itself. So multiply by -2 on both sides of the inequality. When you multiply by a negative number like that ***!!!*** its VERY important that you reverse the inequality symbol in the math sentence.
x/-2 <= -2
(-2) x/-2 <= -2 (-2)
x >= 4
This sentence can now be graphed on a number line. It says 'all the numbers bigger than four or equal to four' See image for graph.
Since there is an equal to bar under the greater (less) than symbol. You use a closed dot (sometimes higher level math classes want you to use a square bracket instead [ The closed dot or square bracket means the four is included in the answer. The arrow goes to the right, because those are all the numbers bigger than four.
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The correct answers are:
- The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
- The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
Further explanation:
Given equations are:
2x-y = -5
x+3y = 22
We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations
Putting the point in 2x-y = -5
Putting the point in x+3y=22
The point satisfies the first equation but doesn't satisfy the second. So,
1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
This statement is true as the point satisfies the first equation
2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
This Statement is false.
3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
This statement is true.
4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
This statement is false as the ordered pair doesn't satisfy both equations.
Keywords: Solution of system of equations, linear equations
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