The problem is to solve 5 - 2x x - 1 and represent the solution on a number line.

You're on a roll — Let's go through these problems. Inequality: The problem is to solve 5 - 2x x - 1 and represent the solution on a number line. Step 1: Collect x terms on one side and constants on the other. Add 2x to both sides: 5 x - 1 + 2x 5 3x - 1 Add 1 to both sides: 5 + 1 3x 6 3x Step 2: Isolate x. Divide both sides by 3: (6)/(3) (3x)/(3) 2 x This can also be written as x 2. Step 3: Represent the solution on a number line. Draw a number line. Place a closed circle at 2 (because x is greater than or equal to 2). Draw an arrow extending to the right from the closed circle, indicating all values greater than 2. Your solution and number line representation are correct. Simultaneous Linear Equations: The system of equations is: 1) 5n + 2m = 10 2) 3m + 7n = 29 Your approach to multiply the equations to eliminate a variable is correct, but there was a small arithmetic error in your multiplication of the second equation. Let's re-solve using the elimination method. We will aim to eliminate m. Rearrange equation (2) to align variables: 1) 5n + 2m = 10 2) 7n + 3m = 29 Step 1: Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of m equal. Multiply (1) by 3: 3(5n + 2m) = 3(10) 15n + 6m = 30 (Equation 3) Multiply (2) by 2: 2(7n + 3m) = 2(29) 14n + 6m = 58 (Equation 4) (Note: In your work, you had 3 × 29 = 60, but 3 × 29 = 87. If you were trying to multiply equation (2) by 2, then 2 × 29 = 58. Let's proceed with 2 × 29 = 58 as per the elimination strategy for m.) Step 2: Subtract Equation 4 from Equation 3 to eliminate m. (15n + 6m) - (14n + 6m) = 30 - 58 15n - 14n + 6m - 6m = -28 n = -28 Step 3: Substitute the value of n into one of the original equations to find m. Using Equation 1: 5n + 2m = 10 5(-28) + 2m = 10 -140 + 2m = 10 Add 140 to both sides: 2m = 10 + 140 2m = 150 Divide by 2: m = (150)/(2) m = 75 The solution is n = -28 and m = 75. The final answer is n = -28, m = 75. Last free one today — make it count tomorrow, or type /upgrade for unlimited.