2 days late, but the answer is no solution. solving a system of equations means finding where they intersect, but by looking at these equations, you know that they never intersect--they're parallel.
they share a slope (2), making them either parallel or "the same line", but the different x-intercepts (9 and -9) mean that they're different lines. they have no solution, or no intersection point, because they're parallel lines.
Answer:
x = 10 cm
Step-by-step explanation:
(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm
combine like terms:
14x - 6 = 134
add 6 to each side of the equation:
14x = 140
divide both sides by 14:
x = 10
24 divided by 6 plus 9 subtract 3 divide 2 =5
Answer:
<em>2 7/24</em>
Step-by-step explanation:
<em>First we have to add the gallons of two cow of each owner:</em>
<em>Hank's cows: </em><em>4 3/4 + 4 1/8</em>
<em>Add the whole numbers:</em>
<em>4 + 4 = 8</em>
<em>Now for 3/4 and 1/8 </em>
<em>Find common</em>
<em>6/8 + 1/8</em>
<em>= 7/8</em>
<em>Put together :</em>
<em>8 7/8</em>
<em>Debra's cows: </em><em>5 1/2 + 5 2/3</em>
<em>Add the whole number</em>
<em>5 + 5 = 10</em>
<em>Now for 1/2 and 2/3</em>
<em>3/6 + 4/6</em>
<em>1 1/6</em>
<em>10 + 1 1/6 </em>
<em>= 11 1/6</em>
<u><em>Since now we know that:</em></u>
<u><em>Hank - </em></u><em>8 7/8</em>
<u><em>Debra - </em></u><em>11 1/6</em>
<em>we can solve the question:</em>
<em>How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?</em>
<em>Solution:</em>
<em>11 1/6 - 8 7/8</em>
<em>Subtract whole number</em>
<em>11 - 8 = 3</em>
<em>Now for 1/6 and 7/8</em>
<em>4/24 - 21/24</em>
<em>4-21/24</em>
<em>-17/24</em>
<em>2 7/24</em>
<em />
<u>~lenvy~</u>
Answer: The point (0,0)
This point is also known as the origin
The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number
If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)