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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 an equivalent fraction for 1 - 3?
-2
What is the equivalent ratio of 25 to 30?
5:6
What is the equivalent fraction of 12 over 20?
To get the equivalent fractions of 12/20: Equivalent fractions of 12/20 = 6/10, 9/15, 15/25… 1. Reduce the given fraction to its lowest term so as to get equivalent fractions of lesser value. 12/20 = 3/5 2. Multiply 3/5 by 2/2, 3/3, 4/4, 5/5,... 3/5 * 2/2 = 6/10 3/5 * 3/3 = 9/15 3/5 * 4/4 = 12/20 (this is the given fraction) 3/5 * 5/5 = 15/25 Equivalent fractions of 12/20 = 6/10, 9/15, 15/25…
What is the answer to this problem If 1 plus 5 equals 12 and 2 plus 10 equals 24 and 3 plus 15 equals 36 then 5 plus 25 equals what?
5 plus 25 equals 60. Need to solve for 5 plus 25 equals ?: 2 plus 10 equals 24 is equivalent to 2 × (1 plus 5) equals 2 × (12); and 3 plus 15 equals 36 is equivalent to 3 ×(1 plus 5) equals 3 × (12); thus 5 plus 25 equals ? is equivalent to 5 × (1 plus 5) equals 5 × (12); thus ? = 5 × 12 = 60.
3(4y+5))=25?
3(4y+5) = 25 3 . 4y + 3 . 5 = 25 12 y + 15 = 25 12 y = 25 - 15 12 y = 10 y = 12:10 = 1.2
What are 5 fractions that are equivalent to 3 over 5?
3/5, 6/10, 9/15, 12/20, 15/25, 18/30
What fractions are 3 over 5 equal to?
Some equivalent fractions of 3/5 are: 3/5 = 6/10 = 9/15 = 12/20 = 15/25.
What are three equivalent fractions to three fifths?
Three fractions equivalent to 3/5 are 6/10, 12/20 and 15/25
Which fraction is equivalent to 4 over 5?
To get the equivalent fraction:Multiply the given fraction by 2/2, 3/3, 4/4, 5/5,...Equivalent fractions of 4/5:= 8/10, 12/15, 16/20, 20/25...
What is the equivalent fraction for 3 5 and 21 25?
3/5+
What 3 frations are equivalent to 0.6?
3/5, 6/10, 9/15, 12/20, 15/25, etc, etc.
What is the equivalent of 12?
3/5
What is 5 twelves times nine twenty 5ths?
5/12 * 9/25 = 45/300 = 3/205/12 * 9/25 = 45/300 = 3/205/12 * 9/25 = 45/300 = 3/205/12 * 9/25 = 45/300 = 3/20
What ratio is equivalent to 3 to 5?
15 to 25
