Question

22,4(5/16x-3/7)-35,1(9/13x-4/9)=-45,9прошу помагите

Answer 1

22,4(5/16x-3/7)-35,1(9/13x-4/9)=-45,9
112\5(5\16х-3\7)-351\10(9\13х-4\9)=-459\10
7х-48\5-243\10х+156\10=-459\10
7х-243\10х=48\5-156\10-459\10
-17,3х=-51,9
х=3

Answer 2

To solve the equation 22.4(5/16x - 3/7) - 35.1(9/13x - 4/9) = -45.9, we will follow the order of operations (PEMDAS) and simplify the equation step by step.

Step 1: Distribute the terms

Distribute the terms inside the parentheses to eliminate the parentheses.

22.4 * (5/16x - 3/7) - 35.1 * (9/13x - 4/9) = -45.9

= (22.4 * 5/16x) - (22.4 * 3/7) - (35.1 * 9/13x) + (35.1 * 4/9) = -45.9

= (112/16x) - (67.2/7) - (315.9/13x) + (140.4/9) = -45.9

Step 2: Simplify the fractions

To simplify the fractions, we need to find a common denominator.

The common denominator for 16, 7, 13, and 9 is 1008.

= (112/16x) - (67.2/7) - (315.9/13x) + (140.4/9) = -45.9

= (112/16x) * (63/63) - (67.2/7) * (144/144) - (315.9/13x) * (77/77) + (140.4/9) * (112/112) = -45.9

= (7056/1008x) - (9676.8/1008) - (24360.3/1008x) + (15724.8/1008) = -45.9

Step 3: Combine like terms

Combine the terms with the same variable.

= (7056/1008x) - (24360.3/1008x) - (9676.8/1008) + (15724.8/1008) = -45.9

= (7056/1008x - 24360.3/1008x) - (9676.8/1008) + (15724.8/1008) = -45.9

= (7056 - 24360.3)/1008x - (9676.8 - 15724.8)/1008 = -45.9

= (-17204.3)/1008x - (-6048)/1008 = -45.9

= (-17204.3 + 6048)/1008x = -45.9

= (-11156.3)/1008x = -45.9

Step 4: Solve for x

To solve for x, we will isolate the variable by multiplying both sides of the equation by the reciprocal of (-11156.3/1008).

((-11156.3)/1008x) * (1008/(-11156.3)) = (-45.9) * (1008/(-11156.3))

x = (-45.9) * (1008/(-11156.3))

x ≈ 4.15

Therefore, the solution to the equation 22.4(5/16x - 3/7) - 35.1(9/13x - 4/9) = -45.9 is x ≈ 4.15.