Solve the following system of equations graphically on the set of axes below. y = x - 3 y = - 3/5x + 5
1 answer:
Answer:
Solution by graphing: (5, 2)
Step-by-step explanation:
y = x - 3
y = - 3/5x + 5
To solve systems of linear equations graphically, you'll have graph each equation using 2 pairs of points.
A great starting point is always using its intercepts:
y = x - 3
where the y-intercept is (0, -3).
To find its x-intercept, set y = 0 and solve for the value of x:
y = x - 3
0 = x - 3
Add 3 to both sides:
0 + 3 = x - 3 + 3
3 = x
Therefore, the x-intercept = (3, 0).
y = - 3/5x + 5
where the y-intercept is (0, 5).
Next, you could find a value of x that easily cancels out the fraction given by the slope (m) = -3/5. An input value of x = 5 cancels out the denominator of the slope:
y = - 3/5x + 5
y = - 3/5(5) + 5
y = -3 + 5
y = 2
Therefore, the other point that you could use to plot on the graph is (5, 2).
For y = x - 3, we'll use the line's intercepts: (0, -3) and (3, 0).
For y = - 3/5x + 5, we'll use (0, 5) and (5, 2).
Plotting these points on the graph will give us a solution of (5, 2), as it is the <u>point where both lines intersect</u>. Attached is a screenshot of the graphed lines.
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<h3>Number of Molecules in 2g of AlCl3</h3>The molar mass of AlCl3 is given as 133.34g/mol
Data;
- mass = 2g
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Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.
If we equate this
From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.
Learn more on mole concept here;
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