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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The answer is b,
if you put them all in decimal form it would look like this:
-6.53, -6.25, 6.57, 6.75
Answer:
Step-by-step explanation:
you need to cancel out the brackets by multiplying -2.3 with every thing inside the brackets
Answer: x = 23 and y = 13
Explanation:
let x and y be the two number.
Where:
(x + y)/2 = 18 => x + y = 18 x 2 = 36
and:
x - y = 10
Thus we get:
x + y = 36 (1)
x - y = 10 (2)
Add (1) and (2):
x + y + x - y = 36 + 10
2x = 46
x = 23
If x = 23
then x - y = 10
23 - y = 10
-y = -13
y = 13