Which shows 4x + 2y = –16 in slope-intercept form? Question 4 options: y = 2x - 8 y = -2x - 8 y = 1/2x - 8 y = 1/2x - 16
1 answer:
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Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
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Step-by-step explanation:
Given
Represent their ages with the first letters of their names:
Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in
This gives:
Collect Like Terms
Divide through by 6
<em>This implies that Sandy is 12 years old</em>
Substitute 12 for S in and
<em>This implies that Randy is 48 years old and Todd is 27</em>
Answer: Yes (5, 50) is a solution
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Explanation:
The point (5, 50) means x = 5 and y = 50 pair up together.
Plug those values into the first equation and simplify both sides as much as possible. This is so we have one number on each side.
y = 5x+25
50 = 5*5+25
50 = 25+25
50 = 50
Because we ended up with a true statement at the end, this makes the original equation y = 5x+25 to be true when (x,y) = (5,50).
In other words, the first equation has been confirmed.
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Repeat those steps for the second equation
y = 3x+35
50 = 3*5+35
50 = 15+35
50 = 50
We get another true statement, and we've confirmed the second equation.
Both equations are true when (x,y) = (5, 50)
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This fully confirms that (5, 50) is indeed a solution to this system.
It turns out it's the only solution. Visually we can verify this by looking at the graph. The two lines intersect at one location and it is (5, 50).
See below.
