Answer:
Step-by-step explanation:
<u>We know that:</u>
<u>Let's first solve for y by choosing any equation.</u>
- 4x + y = 14
- => y = 14 - 4x
<u>Now, let's substitute the value of y into the second equation.</u>
- 6x - 3y = 3
- => 6x - 3(14 - 4x) = 3
- => 6x - 42 + 12x = 3
- => 18x - 42 = 3
- => 18x = 42 + 3
- => 18x = 45
- => x = 45/18 = 5/2 = 2.5
<u>Now, let's substitute the value of x into the equation of y.</u>
- => 14 - 4x = y
- => 14 - 4(2.5) = y
- => 14 - 10 = y
- => y = 4
Hence, the value of x and y are 2.5 and 4 respectively.
Answer:
28
Step-by-step explanation:
So we know that 2 is already a multiple of 4 so we can just find the least common multiple of 4 and 7. So we can do:
4, 8, 12, 16, 20, 24, 28
7, 14, 21, 28
So the least common multiple between 4, 2, and 7 is 28
Answer:
x+y=11
Step-by-step explanation:
take the square root of both sides.
(x-7) + (y+3) = 7
collect like terms
x+y = 7+7-3
So. how many times 12 goes into 3/4?
Answer:
Angle 2= 110 degrees
Angle 3 = 70 degrees
Angle 4 = 70 degrees
Step-by-step explanation:
<u>Finding angle 2</u>
In the figure attached below,the angles 1 and 2 Corresponding angles
When two lines are crossed by another line that is called the Transversal, then, the angles in matching corners are called corresponding angles.
Corresponding angles are equal so
angle 2 = 110 degrees
<u>Finding angle 3</u>
Similarly 2 and 3 are consecutive angles and Consecutive angles are supplementary . That is the sum of the consecutive angles is 180 degree
then
angle 2 +angle 3 = 180
110 + angle 3 = 180
angle 3 = 180 -110
angle 3 = 70 degrees
<u>Finding angle 4</u>
Now angle 3 and angle 4 are alternate interior angle and they are equal
angle 3 = angle 4
so angle 4 is 70 degree