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2 answers:
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Amount of flour used in bread recipe = cups
Amount of flour used in muffin recipe = cups
We have to determine how much more flour is in the recipe.
Since, more amount of flour is used in bread recipe than in muffin recipe.
Total amount of more flour =
=
=
=
Therefore, more cup of flour is used in bread recipe than in muffin recipe.
Now, we will determine the total amount of flour used in both recipe.
Total amount of flour used in bread and muffin recipe
=
=
=
= 6 cups
Therefore, total 6 cups of flour are used in both the recipes.
Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
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Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
