Which equation has x=4 as the solution?<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n To identify an equation with ( x = 4 ) as the solution, let’s first understand the concept of a solution to an equation. A solution to an equation is the value of ( x ) that makes the equation true. For example, if we have the equation:<\/p>\n\n\n\n [ We can solve for ( x ) as follows:<\/p>\n\n\n\n Thus, ( x = 4 ) is the solution to the equation ( 2x + 3 = 11 ).<\/p>\n\n\n\n To make sure that ( x = 4 ) is the solution to any given equation, we can substitute ( x = 4 ) into the equation and verify if both sides are equal. In the case of the equation ( 2x + 3 = 11 ):<\/p>\n\n\n\n Substituting ( x = 4 ):<\/p>\n\n\n\n [ This confirms that the equation holds true when ( x = 4 ), so ( x = 4 ) is indeed a solution.<\/p>\n\n\n\n Other equations that have ( x = 4 ) as the solution could look like:<\/p>\n\n\n\n In conclusion, there are many different types of equations that can have ( x = 4 ) as the solution, and solving each of these equations involves isolating ( x ) and verifying that it satisfies the equation.<\/p>\n","protected":false},"excerpt":{"rendered":" Which equation has x=4 as the solution? The correct answer and explanation is : To identify an equation with ( x = 4 ) as the solution, let’s first understand the concept of a solution to an equation. A solution to an equation is the value of ( x ) that makes the equation true. 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2x + 3 = 11
]<\/p>\n\n\n\n\n
[
2x = 11 – 3
]
[
2x = 8
]<\/li>\n\n\n\n
[
x = \\frac{8}{2} = 4
]<\/li>\n<\/ol>\n\n\n\nExplanation<\/h3>\n\n\n\n
2(4) + 3 = 8 + 3 = 11
]<\/p>\n\n\n\n\n
[
3x = 4 + 8 = 12
] Divide by 3:
[
x = \\frac{12}{3} = 4
]<\/li>\n\n\n\n
[
\\frac{x}{2} = 3 – 1 = 2
] Multiply both sides by 2:
[
x = 4
]<\/li>\n<\/ol>\n\n\n\n