Answer: The approximate solution is (-0.36, 2.08).
Given system of equations : x+5y=10 and 3x+y=1
Jim and Sarah are running for a president and Cayla and Daniel are running for a vice president.Combinations are:Jim (P) - Cayla (VP)Jim (P) - Daniel (VP)Sarah (P) - Cayla (VP)Sarah (P) - Daniel (VP)In total: 4 combinations.
You have to jusitfy the step that leads from sin (x) = a/c and cos(x) = b/c to sin^2 (x) + cos^2(x) = [a^2 / c^2] + [b^2 / c^2].
As you can see go from the first statement to the second by substituting the value of sin(x) by a/x and the value of cos(x) by b/c.
Then, the answer is the option b. substitution property of equality.
1 more quart; 4 quarts is 1 gallon, so 2 quarts is 1/2 gallon.