Answered

IDNLearn.com makes it easy to find precise answers to your specific questions. Join our Q&A platform to receive prompt and accurate responses from knowledgeable professionals in various fields.

Solve for \( x \).

[tex]\[ 3x = 6x - 2 \][/tex]


Format the following question or task so that it is easier to read. Fix any grammar or spelling errors. Remove phrases that are not part of the question. Do not remove or change LaTeX formatting. Do not change or remove [tex] [/tex] tags. If the question is nonsense, rewrite it so that it makes sense.

-----

[tex]\[ 5x + 3y = 10 \][/tex] is a line which meets the \( x \)-axis at a point:

A. \((0,3)\)

B. \((3,0)\)

C. \((2,0)\)

D. [tex]\((0,2)\)[/tex]

Sagot :

GinnyAnsweridn
To determine at which point the line \( 5x + 3y = 10 \) meets the \( x \)-axis, we need to find the \( x \)-intercept of the line.

### Finding the \( x \)-intercept

The \( x \)-intercept is the point where the line crosses the \( x \)-axis. At this point, the \( y \)-coordinate is 0. Let's substitute \( y = 0 \) into the equation of the line and solve for \( x \):

[tex]\[ 5x + 3y = 10 \][/tex]
[tex]\[ 5x + 3(0) = 10 \][/tex]
[tex]\[ 5x = 10 \][/tex]
[tex]\[ x = \frac{10}{5} \][/tex]
[tex]\[ x = 2 \][/tex]

So the \( x \)-intercept of the line \( 5x + 3y = 10 \) is at the point \( (2, 0) \).

### Choosing the correct option

Among the given options:
- (a) \( (0, 3) \)
- (b) \( (3, 0) \)
- (c) \( (2, 0) \)
- (d) \( (0, 2) \)

The correct point where the line meets the \( x \)-axis is \( (2, 0) \).

### Conclusion

Therefore, the correct option is:

(c) [tex]\( (2, 0) \)[/tex]
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.