If you would like to solve a set of equations, you can do this using the following steps:
equation a: y = 15 - 2z /*(-2)
equation b: 2y = 3 - 4z
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-2y = (-2) * (15 - 2z)
-2y = -30 + 4z
2y = 3 - 4z
The mistake was made at step 2: −2y = 15 − 2z [equation a in step 1 is simplified.]. The correct simplification would be <span>-2y = -30 + 4z. </span>
Omg i need help on tht too
Answer:
see explanation
Step-by-step explanation:
The width w is 4 feet longer than two times the length , then
w = 2l + 4
The area (A) of the rectangle is length × width , then
A = l(2l + 4) ← distribute parenthesis
A = 2l² + 4l
Given A = 16
2l² + 4l = 16
Subtract 16 from both sides
2l² + 4l - 16 = 0 ( divide through by 2 )
l² + 2l - 8 = 0 ← in standard form
(l + 4)(l - 2) = 0 ← in factored form
Equate each factor to zero and solve for l
l + 4 = 0 ⇒ l = - 4
l - 2 = 0 ⇒ l = 2
However l > 0 then l = 2
and w = 2l + 4 = 2(2) + 4 = 4 + 4 = 8
The length of the rectangle is 2 feet and
the width is 8 feet
So, if you’re only given the y coordinate in your problem, you would plug that back into your equation
y=5x-1 turns into
4=5x-1 and you can solve by
5=5x
1=x
so the ordered pair turns out to be
(1,4)