Answer:
x = 4
y = 3
Step-by-step explanation:
<u>Given </u><u>equations </u><u>:</u><u>-</u>
<u>Second</u><u> </u><u>equation</u><u> </u><u>can </u><u>be</u><u> written</u><u> as</u><u> </u><u>,</u><u> </u>
<u>Adding</u><u> </u><u>them </u><u>:</u><u>-</u><u> </u>
- -3y + 2y = 2 -5
- -y = -3
- y = 3
<u>Put </u><u>this </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>
- x = 3y - 5
- x = 3*3 - 5
- x = 9 -5
- X = 4
Answer:
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Step-by-step explanation:
Answer:
Red = 30 drops
Blue = 20 drops
Step-by-step explanation:
The ratio red to blue is 3 : 2
Sum of ratios = 3 + 2 = 5
Required purple paint = 50 gallons
So,

Now, Red drops = 3×10 = 30
Blue drops = 2×10 = 20
The y-intercept of the linear function y = 3x - 2 is -2
<h3>How to determine the y-intercept?</h3>
The function is given as
y = 3x - 2
The above function is a linear function, and the y-intercept is the point on the graph, where x = 0 i.e. the point (0, y)
As a general rule, linear functions are those functions that have constant rates or slopes
Next, we set x to 0, and calculate y to determine the value of the y-intercept
y = 3(0) - 2
Remove the bracket in the above equation
y = 3 * 0 - 2
Evaluate the product of 3 and 0 i.e. multiply 3 and 0
y = 0 - 2
Evaluate the difference of 0 and -2 i.e. subtract 0 from 2
y = -2
The above means that the value of y when x is 0 is -2
Hence, the y-intercept of the linear function y = 3x - 2 is -2
Read more about y-intercept at:
brainly.com/question/14180189
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Answer:
Angles 5 and angle 2 are supplementary angles
Step-by-step explanation:
Angle 2 and angle 6 are corresponding angles and corresponding angles are equal when we have parallel lines
Angles 5 and angle 6 are supplementary angles since they form a line
Replace angle 6 with angle 2 since they are equal
Angles 5 and angle 2 are supplementary angles