The answer is sixteen because 13 plus 3 equals sixteen and 16 minus 3 equals 13
Parallel to the line
2x + 5y = 10
And passes through the point (-5,1)
First we need to identify the slope of the equation/expression
2x + 5y = 10
To do so, you may use the slope formation (isolate y)
5y = -2x + 10
y = (-2/5)x + 2
So the slope is -2/5
And since they mentioned the other line will be parallel then the slopes are identical.
Passes through (-5,1)
Use the formula
y - y1 = m(x - x1)
where m is slope
And subsitute
y - 1 = (-2/5)(x + 5)
y - 1 = (-2/5)x - 2
y = (-2/5)x -1
Since the slopes are both identical then the lines are indeed parallel
Therefore the answer is correct!
Answer:
x = 14
Step-by-step explanation:
Given
5(x - 10) = 20 ( divide both sides by 5 )
x - 10 = 4 ( add 10 to both sides )
x = 14
1. <span>In this case the two </span>equations<span> describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) </span>will<span> satisfy the </span>equation<span> of either line. Thus the pair (x, y) is the one and only </span>solution<span> to the </span>system of equations<span>.
i don't know 2</span>
You want y? One way to get y alone would be to mult. all 3 terms by (7/5):
(7/5)(5/7)y = (7/5)*3 - (7/5)(-1/5). This simplifies to:
y = 21/5 * 7/25, or y = 147 / 125.
You could check this using decimal fractions:
y = 4.20 * 0.28 = 1.176 = 147 / 125.