Question

Реши уравнения с комментированием: 1) (2х+7х)/5=27 2) (8у+у+12у)/14=30 3) 26*(7у+5+3)=1300 4) 640/(5k+4+7k)=16 Хотя бы одно или два. Спасибо ОГРОМНОЕ заранее!!!

Answer 1

3)26×(7у+5+3)=1300
182у+130+78=1300
182у+208=1300
182у=1300-208
182у=1092
у=1092÷182
у=6

Answer 2

1)(2x+7x)/5=27
9x/5=27
9x=27*5
x=15
2)(8y+y+12y)/14=30
21y/14=30
21y=30*14
y=20

Answer 3

Equation 1: (2x + 7x)/5 = 27

To solve this equation, we need to simplify the left side first.

Step 1: Combine like terms on the left side: (2x + 7x) = 9x Step 2: Rewrite the equation: 9x/5 = 27 Step 3: To isolate x, we can multiply both sides of the equation by 5: 5 * (9x/5) = 5 * 27 Step 4: Simplify: 9x = 135 Step 5: Divide both sides of the equation by 9 to solve for x: (9x)/9 = 135/9 Step 6: Simplify: x = 15

Therefore, the solution to equation 1 is x = 15.

Equation 2: (8y + y + 12y)/14 = 30

To solve this equation, we need to simplify the left side first.

Step 1: Combine like terms on the left side: (8y + y + 12y) = 21y Step 2: Rewrite the equation: 21y/14 = 30 Step 3: To isolate y, we can multiply both sides of the equation by 14: 14 * (21y/14) = 14 * 30 Step 4: Simplify: 21y = 420 Step 5: Divide both sides of the equation by 21 to solve for y: (21y)/21 = 420/21 Step 6: Simplify: y = 20

Therefore, the solution to equation 2 is y = 20.

Equation 3: 26 * (7y + 5 + 3) = 1300

To solve this equation, we need to simplify the left side first.

Step 1: Simplify the expression inside the parentheses: 7y + 5 + 3 = 7y + 8 Step 2: Rewrite the equation: 26 * (7y + 8) = 1300 Step 3: Distribute 26 to the terms inside the parentheses: 182y + 208 = 1300 Step 4: Subtract 208 from both sides of the equation: 182y = 1300 - 208 Step 5: Simplify: 182y = 1092 Step 6: Divide both sides of the equation by 182 to solve for y: (182y)/182 = 1092/182 Step 7: Simplify: y = 6

Therefore, the solution to equation 3 is y = 6.

Equation 4: 640/(5k + 4 + 7k) = 16

To solve this equation, we need to simplify the left side first.

Step 1: Simplify the expression inside the parentheses: 5k + 4 + 7k = 12k + 4 Step 2: Rewrite the equation: 640/(12k + 4) = 16 Step 3: Multiply both sides of the equation by (12k + 4) to isolate the denominator: 640 = 16 * (12k + 4) Step 4: Simplify: 640 = 192k + 64 Step 5: Subtract 64 from both sides of the equation: 640 - 64 = 192k Step 6: Simplify: 576 = 192k Step 7: Divide both sides of the equation by 192 to solve for k: (576)/192 = k Step 8: Simplify: k = 3

Therefore, the solution to equation 4 is k = 3.

I hope this helps! Let me know if you have any further questions.