Which equation has the solution x=7 ? 7x+3=52 5x-7=68 6x+2=47 2x-4=-10

Substitute x=7: To find out which equation has the solution x=7, we need to substitute x=7 into each equation and see which one results in a true statement. Let's start with the first equation: 7x+3=52. Substitute x=7 into the equation: 7(7) + 3 = 52. Calculate: 49 + 3 = 52. Check if the statement is true: 52 = 52.Check first equation: Now let's check the second equation: 5x-7=68. Substitute x=7 into the equation: 5(7) - 7 = 68. Calculate: 35 - 7 = 68. Check if the statement is true: 28 ≠ 68. This equation does not have the solution x=7.Check second equation: Next, let's check the third equation: 6x+2=47. Substitute x=7 into the equation: 6(7) + 2 = 47. Calculate: 42 + 2 = 47. Check if the statement is true: 44 ≠ 47. This equation does not have the solution x=7.Check third equation: Finally, let's check the fourth equation: 2x-4=-10. Substitute x=7 into the equation: 2(7) - 4 = -10. Calculate: 14 - 4 = -10. Check if the statement is true: 10 ≠ -10. This equation does not have the solution x=7.

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Which equation has the solution
x=7 ?

7x+3=52

5x-7=68

6x+2=47

2x-4=-10

Which equation has the solution $x=7$ ? $\newline$ $7 x+3=52$ $\newline$ $5 x-7=68$ $\newline$ $6 x+2=47$ $\newline$ $2 x-4=-10$

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Math Problems

Algebra 2

Solve a system of equations in three variables using elimination

Full solution

Q. Which equation has the solution

x=7

\newline

7 x+3=52

\newline

5 x-7=68

\newline

6 x+2=47

\newline

2 x-4=-10

Substitute $x=7$ : To find out which equation has the solution $x=7$ , we need to substitute $x=7$ into each equation and see which one results in a true statement. $\newline$ Let's start with the first equation: $7x+3=52$ . $\newline$ Substitute $x=7$ into the equation: $7(7) + 3 = 52$ . $\newline$ Calculate: $49 + 3 = 52$ . $\newline$ Check if the statement is true: $52 = 52$ .
Check first equation: Now let's check the second equation: $5x-7=68$ . Substitute $x=7$ into the equation: $5(7) - 7 = 68$ . Calculate: $35 - 7 = 68$ . Check if the statement is true: $28 \neq 68$ . This equation does not have the solution $x=7$ .
Check second equation: Next, let's check the third equation: $6x+2=47$ . Substitute $x=7$ into the equation: $6(7) + 2 = 47$ . Calculate: $42 + 2 = 47$ . Check if the statement is true: $44 \neq 47$ . This equation does not have the solution $x=7$ .
Check third equation: Finally, let's check the fourth equation: $2x-4=-10$ . Substitute $x=7$ into the equation: $2(7) - 4 = -10$ . Calculate: $14 - 4 = -10$ . Check if the statement is true: $10 \neq -10$ . This equation does not have the solution $x=7$ .