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Solve by substitution method 15x-20y7 5y-3 10x?
15x - 20y = 7 5y - 3 = 10x Let's solve the second equation for y. 5y - 3 = 10x add 3 to both sides; 5y = 10x + 3 divide by 5 to both sides; y = 2x + 3/5 Substitute the expression 2x + 3/5 for y to the first equation. 15x - 20y = 7 15x - 20(2x + 3/5) = 7 multiply by 20 each term of the parentheses; 15x -40x - 60/5 = 7 - 25x - 12 = 7 add 12 to both sides; -25x = 19 multiply by -1 to both sides; 25x = -19 divide by 25 to both sides; x = -19/25 Substitute -19/25 for x to y = 2x + 3/5 y = 2x + 3/5 y = 2(-19/25) + 3/5 y = -38/25 + 3/5 multiply 3/5 by 5/5; y = -38/25 + 15/25 y =-23/25 The solution set is (-19/25, -23/25) Check: 1. 15 x - 20y = 7 15(-19/25) - 20(-23/25) = 7? -285/25 + 460/25 = 7 ? 175/25 = 7 ? 7 = 7 2. 5y - 3 = 10x 5(-23/25) - 3 = 10(-19/25) ? -115/25 - 3 = -190/25 ? -115/25 - 3(25/25) = -190/25 ? -115/25 - 75/25 = -190/25 ? -190/25 = -190 / 25 or, -38/5 = -38/5 The solution set is (1/5, 1)
What is 3 over 5 in equivalent fractions?
They are: 6/10, 12/20 and 24/40
What is the equivalent ratio for 15 to 5?
There are infinitely many equivalent ratios to 15:5, eg 12:4, 30:10, 45:15, 60:20 The simplest form of the ratio is 15:5 = (3×5):(1×5) = 3:1
What is the equivalent ratio of 25 to 30?
5:6
What is an equivalent fraction for 1 - 3?
-2
