Answer:
(x, y) = (2, -4)
Step-by-step explanation:
No question is posed, and no solution method is specified. We presume you're interested in the values of x and y that make both equations true.
<h3>Solution</h3>
A quick and easy way to find the solution of two linear equations is to type them into a graphing calculator. The result is shown in the attachment.
The solution is the point that satisfies both equations, their point of intersection. The solution is (x, y) = (2, -4).
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<em>Additional comment</em>
We note that the y-coefficients are related by a factor of 2, and the other coefficients of the second equation are larger than those of the first equation. This suggests using "elimination" or "linear combination" to solve the equations by eliminating the y-variable.
Subtracting the first equation from twice the second gives ...
2(9x +4y) -(7x +8y) = 2(2) -(-18)
11x = 22 . . . . . . . simplify
x = 2 . . . . . . . . divide by 11
Substituting for x in the second equation gives ...
9(2) +4y = 2
4y = -16 . . . . . . . . subtract 18
y = -4 . . . . . . . divide by 4
The solution is (x, y) = (2, -4).
Answer:
No mistake
Step-by-step explanation:
2x + y = 5
x - 2y = 10
y = 5 - 2x
x - 2(5 - 2x) = 10
x - 10 + 4x = 10
5x - 10 = 10
5x = 20
x = 4
2(4) + y = 5
y = -3
She made no mistake
You can check by plugging in x = 4 and y = -3 into the original equations . They fit exactly.
well, if m = 1, let's see, then f(x) = √(mx) = √(1x) = √x
and then g(x) = m√x = 1√x = √x
well, if both equations are equal, then their ranges are also equal.
now, if m = "any positive real number"
f(x) = √(mx) = √m √x will yield some value over the y-axis
g(x) = m√x will yield some range over the y-axis, however, "m" is a larger value than "√m".
what that means is that so long "m" is a positive real number, the ranges of f(x) and g(x) will be the same over an infinite range on the y-axis, even though g(x) is moving faster than f(x), f(x) is moving slower because √m makes a stretch transformation which is smaller than one "m" does.
C. multiply the second equation by two. Then add the equations