Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
Answer:
im pretty sure the answer is 60
Step-by-step explanation:
6 ten thousands is 60,000
60,000 divided by 1000 is 60
Answer:
First Image: Option D
Second Image: Option D
Third Image: Option C
Fourth Image: Option B
Fifth Image: Option B
Step-by-step explanation:
<u>First Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 47 = 133°
- ? is an obtuse angle is any angle greater than 90° which checks the answer
<u>Second Image:</u>
- A triangle angles adds up to 180°
- Two angles are already given
- 72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Third Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 110 = 70°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Fourth Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 120 = 60°
- we are shown a right angle which = 90°
- A triangle adds up to 180°
- 180 - 90 - 60 = 30
- ? = 30°
- ? is an acute angle is an angle that measures between 90° and 0°
<u>Fifth Image:</u>
- Supplementary angles is two angles whose sum is 180 degrees (straight line)
- 180 - 85 = 95°
- ? is an obtuse angle is any angle greater than 90° which checks the answer
Learn more about Triangles here: brainly.com/question/4186813
